Millat College

Dr. Abul Basar

Contact Number: +91-8800413593; 8076209568 Email: basar.jmi@gmail.com
Google Scholar Citation: 274
H-index: 10
i10 index: 12
Total Research Papers Published: 55
Foreign/International Journals: 42
Indian Journals: 12
Book Chapter: 01
Presently working as a Guest Teacher in the Department of Mathematics at Millat College, A Constituent Unit of L. N. Mithila University, Darbhanga, Bihar, India.

Personal Information:

Name: Abul Basar
Adopting Father: Md. Sharfuddin
Adopting Mother’s name: Badrunnisa
Email Id: basar.jmi@gmail.com
Mobile No.: +91-8800413593
Date of Birth: 16-03-1981
Nationality: Indian
Sex: Male
Marital Status: Married to Shaista
Languages known: English, Urdu, Hindi

Educational Qualifications:-

Course Year Division/% Board/University Subject
Ph. D. (Mathematics)2015Awarded Jamia Millia Islamia, New DelhiAlgebra
M. Sc. Mathematics2006Ist/70.42Jamia Millia Islamia, New DelhiMathematics
B. A. Mathematics (Hons.)2004IInd/58.75L. N. M. U.,Darbhanga Mathematics
ntermediate1999Ist. /60.01B. I. E. C., PatnaMathematics, Physics, Chemistry, Hindi, English ,Urdu
High School1997Ist/67.85B.S.E.B., PatnaMath, Physics, Chemistry, Biology, Urdu, Hindi, English

Award/Fellowship

  • Availed/Pursued Post Doctoral Fellowship of National Board of Higher Mathematics, Department of Atomic Energy, Government of India during July 28, 2015-September 13, 2017.
  • Awarded “UGC-BSR Research Fellowship in Science for Meritorious Students (RFSMS)” in the Department of Mathematics, Jamia Millia Islamia, New Delhi (BSR) during September 2013- June 2015.
  • UGC Fellowship for Ph. D. Scholars in Central University during Dec 16, 2010-Sep 2013.
  • Worked as an Asstt. Professor (Contractual) in the Department of Mathematics, Jamia Millia Islamia, New Delhi.

Research Papers Published

  1. Dr. Abul Basar, Professor Bhavanari Satyanarayana and Shalini Kumari, On some properties of relative hyperideals in relative regular ordered Krasner
    hyperrings, GIS Science Journal, 10(1)(2023), 306-328. Scopus. ISSN: 1869- 9391.
  2. Dr. Abul Basar, Dr. Ayaz Ahmad, Dr Poonam Kumar Sharma and Professor Bhavanari Satyanarayana, On relative ordered Hoehnke Γ-hyperideal and Γ- hyperidealsin chain ordered Γ-semihypegroups, 9(7)(2022), 2793-2803. Scopus. ISSN: 1869-9391.
  3. Dr. Abul Basar, Professor Dr. Bhavanari Satyanarayana and Dr. Ayaz Ahmad, A Novel Approach towards cean generalized characterization of ordered LAsemihypergroup by relative hyperideals, GIS Science Journal, 9(8)(2022), 370- Scopus. ISSN: 1869-9391.
  4. Dr. Abul Basar, Dr. Ayaz Ahmad, Professor Dr. Bhavanari Satyanarayana, Dr Poonam Kumar Sharma and Dr. Md. Sanjeel, On relative ordered Gammahyperideals and relative prime segments in chain ordered Gammasemihypergroups, Journal of Xi’an University of Architecture & Technlogy, 14(8)(2022), 300-309. Scopus. ISSN: 1006-7930.
  5. Dr. Abul Basar, Dr. Poonam Kumar Sharma, Dr. Ayaz Ahmad and Dr. Bhavanari Satyanarayana, International Journal of Research in Academic World, 1(14) (2022), 94-99.
  6. Abul Basar and Bijan Davvaz, On relative quasi hyperideals and relative bihyperideals in ordered semihypergroups, Palestine Journal of Mathematics, 11(3)(2022), 308-322. ISSN: 2219-5688.(Scopus)
  7. A. Basar, M. Y. ABBASI, B. SATYANARAYANA, P. K. SHARMA, S. A. KHAN, SOME CONTRIBUTION TO STUDY OF GENERAL RELATIVE PRIME AND WEAKLY PRIME BI-HYPERIDEALS IN ORDERED HYPERSEMIGROUPS, Eur. J. Math. Appl., 2(5)(2022).
  8. A. Basar, Sabahat Ali Khan, Bhavanari Satyanarayana and Poonam Kumar Sharma, A note on basic results on relative ordered Γ- ideals in ordered LA-Γ-semigroups, GIS Science Journal, 9(1)(2022), 27- ISSN: 1869-9391.(Scopus)
  9. Dr. A. Basar, Prof. B. Satyanarayana and Dr. P. K. Sharma, Indian Influence in Mathematics of Abu Ja’far Muhammad ibn Musa Al- Khwarizmi: A Survey
    Article, International Journal of Interdisciplinary Cycle Research, 14(1) (2022), 188-191. ISSN: 0022-1945.
  10. B. Satyanarayana and P. K. Sharma and A. Basar, The Vedas as the Original Source of the Hindu Indian Ancient and Modern Mathematical Sciences: A
    Survey Article, Journal of Mathematical Problems, Equations and Statistics, ,(2022), 3(1) 06-10. E-ISSN: 2709-9407, P-ISSN: 2709-9393.
  11. A. Basar, M. Y. Abbasi, B. Satyanarayana, and A. F. Talee, ON BASIC PROPERTIES OF RELATIVE Γ-IDEALS IN Γ-NEAR RINGS, Annals of Communcations in Mathematics, 4(3)(2021), 278-283. ISSN: 2582-0818.
  12. A. Basar and M. Y. Abbasi, A study of ordered quasi-hyperideals and ordered bihyperideals in regular ordered semihypergroups, Annals of Communications in
    Mathematics, 4(3)(2021), 293-306. ISSN: 2582-0818.
  13. A. Basar, Bhavanari Satyanarayana, Poonam Kumar Sharma and Mohammad Yahya Abbasi, Glimpses of contributions of some top Indian mathematicians: A review article, International Journal of Statistics and Applied Mathematics, 2021; 6(6): 62-67. ISSN: 2456-1452.
  14. A. Basar, Bhavanari Satyanarayana, Kuncham Syam Prasad, Poonam Kumar Sharma and Mohammad Yahya Abbasi, A note on relative ,Gamma-ideals in abstract affine Gamma-nearrings, GIS Science Journal, 8(10) (2021), 9-13. ISSN: 1869-9391. (Scopus)
  15. A. Basar, Bhavanari Satyanarayana and Poonam Kumar Sharma, Relative act hyperideals and relative hyperideals of hypersemigroups, Journal of
    Xi’an University of Architecture & Technology, Volume XIII, Issue 4, (2021), 607-622, ISSN: 1006-7930. (Scopus)
  16. A. Basar, N. Yaqoob, M. Yahya Abbasi and S. Ali Khan, SOME CHARACTERIZATIONS OF ORDERED INVOLUTION Γ- SEMIHYPERGROUPS BY WEAKLY PRIME Γ-HYPERIDEALS, International Journal of Mathematical Archive, 12(5) (2021), 23-30. ISSN: 2229-5046. .
  17. A. Basar, N. Yaqoob, M. Y. Abbasi, B. Satyanarayana and P. K. Sharma, ON CHARACTERIZATION OF REGULAR ORDERED TERNARY SEMIHYPERGROUPS BY RELATIVE HYPERIDEALS, Annals of Communcations in Mathematics, 4(1)(2021), 73-88. ISSN: 2582-0818.
  18. M. Y. Abbasi, A. Basar and A Ali, A characterization of ordered Γ- semigroups by ordered (m, n)-Γ-ideals, Boletim da Sociedade Paranaense de Mathematica, 39(4) (2021), 165-174. (Web of Science/Scopus); ISSN: 0037-8712.
  19. M. Y. Abbasi, Akbar Ali and A. Basar, A Study of *-bi-ideals and *-quasi ideals to characterize ordered *-semigroups, Southeast Asian Bulletin of
    Mathematics, 44(5)(2020), 605–612. (MathSciNet/Web of Science); ISSN: 0129-2021.
  20. A. Basar. Some novel ideas of T -Γ-ideals, relative Γ-ideals, minimal Γ-ideals and maximal Γ-ideals in topological Γ-semigroups revisited. 2020. hal-02432397.
  21. A. Basar, On some relative weakly hyperideals and relative prime bi-hyperideals in ordered hypersemigroups and in involution ordered hypersemigroups, Annals of
    Communcations in Mathematics, 3(1)(2020), 63-79. ISSN: 2582-0818.
  22. A. F. Talee, M. Y. Abbasi and A. Basar, On properties of hesitant fuzzy ideals in semigroups, Annals of Communcations in Mathematics, 3(1) (2020), 97-106.
    ISSN: 2582-0818.
  23. A. Basar, A mathematics letter lecture note on some variety of algebraic Γ- ,structures, International Journal of Science and Research, 9(1) (2020), 113-117.
    ISSN: 2319-7064.
  24. A. Basar and P K Sharma, A Walk Through Completely Normal Bihyperideals in Hypersemi groups, International Journal of Mathematics Trends and Technology,
    66(2)(2020), 42-48. ISSN: 2231-5373.
  25. A. Basar and M. Y. Abbasi, Some properties of normal -ideals in normal - semigroups, TWMS J. App. and Eng. Math, 9(3)(2019), 455-460; ISSN: 2146- 1147.(ESCI/Scopus).
  26. A. Basar, On some power joined 𝚪-semigroups, International Journal of Engineering, Science and Mathematics, 8(12) (2019), 53-61. ISSN: 2320-0294.
  27. Poonam Kumar Sharma, Bhavanari Satyanarayana and A. Basar, A note on archimedian chained Γ -Semigroups, International Journal of Innovative Science
    and Research Technology, 4(12) (2019), 298-301. ISSN: 2456-2165.
  28. A. Basar, Shahnawaz Ali, Mohammad Yahya Abbasi, Bhavanari Satyanarayana and Poonam Kumar Sharma, On some hyperideals in ordered semihypergroups,
    Journal of New Theory, 29(2019), 42-48. ISSN: 2149-1402.
  29. A. Basar, S Ali, Poonam Kumar Sharma, Bhavanari Satyanarayana and M. Y. Abbasi, A study of ordered bi-Γ-hyperideals in ordered Γ-semihypergroups,
    Ikonion Journal of Mathematics, 1(2)(2019), 34-45.ISSN: 2687-6531.
  30. A. Basar, S Ali and P K Sharma, An excursion through some characterizations of hypersemigroups by normal hyperideals, International Journal of Mathematics
    Trends and Technology, 65(12) (2019), 142-147. ISSN: 2231-5373.
  31. M. Y. Abbasi and A. Basar, Some Properties of Valuation Ideals and Primary Ideals in Additive Semigroups, Thai Journal of Mathematics, 17 (1) (2019), 199-
    106(ESCI/Scopus); ISSN: 1686-0209.
  32. A. Basar, Mohammad Yahya Abbasi and Sabahat Ali Khan, An introduction of theory of involutions in ordered semihypergroups and their weakly prime
    hyperideals, Journal of the Indian Mathematical Society, 86(3-4) (2019), 1- 11(Scopus); ISSN: 0019-5839.
  33. A. Basar, Application of (m, n)- Γ -hyperideals in characterization of LA- Γ – semihypergroups, Discussion Mathematicae-General Algebra and Applications,
    39(1) (2019), 135-147(Scopus); ISSN: 1509-9415.
  34. A. Basar, A note on (m, n)-Γ-ideals of ordered LA-Γ-semigroups, Konuralp Journal of Mathematics, 7(1) (2019), 107-111 (MathSciNet); Global
    Impact and Quality Factor (2015): 0.456; ISSN: 2147-625X.
  35. Satyanarayana Bhavanari, Srinivasulu Devanaboin, Mallikarjuna Bhavanari and A. Basar, Power chains in a divisor graph, Impact: International Journal of Research in Humanities, Arts and Literature (IMPACT: IJRHAL), 7(4) (2019), 383-390; ISSN (P): 2347-4564; ISSN (E): 2321-8878.
  36. M. Y. Abbasi, A. Basar and Akbar Ali, On bi-ℾ-ideals in ℾ-semigroups with involution, Italian Journal of Pure and Applied Mathematics, 41(2019), 399–
    404(Scopus); ISSN: 2239-0227.
  37. A. Basar, Mohammad Yahya Abbasi and Satyanarayana Bhavanari, On generalized ℾ-hyperideals in ordered ℾ-semihypergroups, Fundamental Journal of Mathematics and Applications, 2(1) (2019), 18-23; ISSN: 2645- 8845.
  38. A. Basar and M. Y. Abbasi, Some Properties of Q-Fuzzy Ideals in po-ℾ- semigroups, Palestine Journal of Mathematics, 7(2) (2018), 505- 511(MathSciNet); ISSN: 2219-5688.(Scopus)
  39. M.Y. Abbasi, A. Basar, Aakif Fairooze Talee and Sabahat Ali Khan, GENERALIZED (ξ, ζ)-) SOFT INTERIOR Γ−HYPERIDEALS OF Γ-SEMIHYPERGROUPS, Honam
    Mathematical Journal, 40(1) (2018), 93-108; ISSN: 2146-1147(ESCI/Scopus).
  40. A. Basar and M. Y. Abbasi, A note on intra-regular ordered-ℾ-semigroups with involution, Eurasian Bulletin of Mathematics EBM, 1(2) (2018), 78-
    84(MathSciNet). ISSN: 2687-5632.
  41. A. Basar and M. Y. Abbasi, Ordered bi--ideals in ordered –semigroups, Journal of Discrete Mathematical Sciences and Cryptography, 20(3) (2017), 645-
    652 (Online)(Scopus/ESCI) (Taylor and Francis); ISSN: 0972-0529 (Print); ISSN: 2169-0065.
  42. A. Basar and M.Y. Abbasi, On Some Powerful Ideals of Semigroups, Gulf Journal of Mathematics, 5(1) (2017), 102-107; ISSN: 2309-4966(MathSciNet).
  43. M. Y. Abbasi, Sabahat Ali Khan and A. Basar, On Generalized Quasi-ideals in Ordered Ternary Semigroups, Kyungpook Mathematical Journal, 57(2017), 545-
    558; ISSN: 1225-6951(Print); 0454-8124(online)(Scopus).
  44. A. Basar and M.Y. Abbasi, On covered -ideals of -semigroups, Global Journal of Pure and Applied Mathematics, 13(5) (2017); ISSN: 1467-1472(Scopus).
  45. A. Basar, M. Y. Abbasi and Sabahat Ali Khan, Some Properties of covered - ideals in po--semigroups, Int. J. Pure Appl. Math.,115(2) (2017), 345-352;
    ISSN: 1311-8080 (print); ISSN: 1314-3395 (online)(Scopus).
  46. M. Y. Abbasi and A. Basar, A note on ordered bi-Γ-ideals in intra-regular ordered Γ-Semigroups, Afrika Matematica, 27(2016), 1403-1407, (Springer); ISSN: 1012-9405(Scopus).
  47. A. Basar and M. Y. Abbasi, On generalized bi-Γ-Ideals in Γ-semigroups, Quasigroups and Related Systems, 23(2) (2015), 181-186; ISSN: 1561- 2848(Scopus).
  48. M. Y. Abbasi and A. Basar, Some Properties of Ordered 0-Minimal (0, 2) bi-- Ideals of po-Γ-Semigroups, Hacettepe Journal of Mathematics and Statistics,
    44(2) (2015), 247-254; ISSN: 1303-5010 (SCI with impact factor 0.433).
  49. M. Y. Abbasi and A. Basar, On Generalizations of Ideals in LA-Γ-semigroups, Southeast Asian Bulletin of Mathematics, 39(1) (2015), 1-12; ISSN: 0129- 2021(Web of Science/MathSciNet).
  50. M. Y. Abbasi and A. Basar, A note on ordered quasi--ideals in intra-regular po- Γ-semigroups, International Journal of Pure and Applied Mathematics, 98(2)
    (2015), 221-230; ISSN: 1311-8080 (print), ISSN: 1314-3395 (online) (Scopus).
  51. M. Y. Abbasi and A. Basar, Weakly Prime Ideals in Involution po-Γ-Semigroups, Kyungpook Mathematical Journal, 54(4) (2014), 629-638; ISSN: 1225- 6951(Print); 0454-8124(online) (Scopus).
  52. Satyanarayana Bhavanari, Mohammad Yahya Abbasi, A. Basar and Syam Prasad Kuncham, Some Results on Abstract Affine Gamma-Near-Rings, International
    Journal of Pure and Applied Mathematical Sciences, 7(1) (2014),43-49; ISSN: 0972-9828(MathSciNet).
  53. M. Y. Abbasi and A. Basar, On Ordered Quasi-Gamma Ideals of Regular Ordered Gamma-Semigroups, Algebra, Article ID 565848, (2013), 1-7. doi: 10.1155/ 2013 / 565848 ; ISSN: 2314-4114/ISSN-L: 2314-4106(MathSciNet).
  54. M. Y. Abbasi and A. Basar, On One-Sided Prime Ideals of b-Semirings, International Mathematical Forum, (22) (2012), 1065-1069; ISSN: 1312-7594 (print); ISSN: 1314-7536 (online) (MathSciNet).

Book Chapter:

  1. M. Y. Abbasi and Abul Basar, A Note on Prime and Irreducible Generalized bi--ideals in -semigroups, Proceeding of International conference on Algebra, Geometry, Analysis and their Applications, (22) (2017), 76-82, Narosa Publishing House; ISBN: 978-81-8487-561-4. E-ISBN: E 978-81-8487-667-3.

Faculty Development Program/Referesher/Course/Conferences/Seminars/Workshops Participation/Presentation:

  1. Participated in a Two-Day Workshop on “Recent Advances in Differential Equations” organized by the Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai on 8th and 9th April 2023.
  2. Participated in a One Week Faculty Development Program on “Scientific Language” organized by the Department of Mathematics, School of Basic Sciences, The Assam Kaziranga University, Jorhat, Assam, and India from 26th April -2nd May, 2023.
  3. Participated in IP awareness/Training program under NATIONAL INTELLECTUAL PROPERTY AWARENESS MISSION, organized by Intellectual Property Office, India on April 06, 2023.
  4. Participated 2nd National Conference on “Computational and Characterization Techniques in Engineering & Sciences”(CCTES-23) organized by Rajkiya
    Engineering College, Ambedkar Nagar, Uttar Pradesh, India during, February 27- 28, 2023.
  5. Presented on “भारतीय 􁮕􁭠थ􁲂 म􁱶 गिणत क􁳱 मह􁱫ा का 􁮧काशन(Publication of the importance of mathematics in Indian text)”, in International Seminar(अंतररा􁳦ीय संगो􁳧ी), organized by University Department of Hindi, L. N. Mithila University, during 11-12 April, 2023.
  6. Oral Lecture titled “On some applications of hyperstructures in basic sciences” delivered in the International Conference on “Role of Basic Sciences for
    Sustainable Future(IRBSSF-23)S” organized by University Department of Chemistry, L. N. Mithila University, Kameshwaranagar, Darbhanga in collaboration with Association of Chemistry Teachers, Mumbai during March 27-28, 2023.
  7. Participated 3-Day Online Faculty Development Programme (FDP) on “Differential Equations & its Applications”, organized by Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai from 03rd February to 05th February 2023.
  8. Participated in Five Day online Faculty Development Program on “Applications of Mathematics in Applied Sciences and Engineering”, jointly organized by GMR
    Institute of Technology-Rajam & National Institute of Technology-Warangal, from 30th January—03rd February, 2023.
  9. Participated a workshop on “Latex for scientific writing”, organized by Department of Mathematics, CMR Institute of Technology, Bengaluru on 15 March 2023.
  10. Indira Gandhi National Open University, Staff Training and Research Institute of Distance Education, “UGC-Approved Short-Term Professional Development Programme” under Pandit Madan Mohan Malaviya National Mission on Teachers and Teaching during October 27-November 05, 2022.
  11. Presented a paper titled “Some Contribution of the Vedas into the Development of Mathematical Sciences in General” in the International Conference organized by P. G. Department of Sanskrit, L. N. Mithila University, Darbhanga during August 30-31, 2022.
  12. Participated 44th Annual Conference, Darshan Parishad, Bihar, organized by P. G. Department of Philosophy, L. N. Mithila University, Darbhanga, published an Abstract titled “A Study of Correlation Between Mathematics and Philosophy” during November 06-08, 2022.
  13. Participated in “International Seminar on Indian Mathematicians and their Contributions (ISIMC-2022) to commemorate the 135th birth anniversary of
    legendary Indian Mathematician Srinivasa Ramanujan, organized by Department of Mathematics, School of Physical Sciences, Central University of Karnataka,
    Kalaburagi-585 367, India during 21-22, December, 2022.
  14. Participated in an online One Week International Workshop on “Numerical Analysis of Ordinary and Fractional Partial Differential Equations”organized by the Faculty of Mathematics, Government Tilak PG College, Katni, MP, India during December 27 to 31, 2022.
  15. Participated National webinar on ‘Applications of Mathematical Research’, organized by Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Tamil Nadu, India on October 15, 2022.
  16. Participated in the online workshop entitled “Workshop on Recent Progress in Astrophysics(WRPA-2022)”, organized by Department of Physics, Amity Institute of Applied Sciences, Amity University, Uttar Pradesh, on 17th of November, 2022.
  17. Participated in the “Workshop on Group Theory and Related Areas”, organized by Department of Applied Sciences, IIIT, Allahabad, India during November 14, 2022 to November 16, 2022.
  18. Participated in “Five Days Online Faculty Development Programme” on “Emerging Research Orientation in Mathematics and its Applications” organized by Department of Mathematics, CMR Institute of Technology, Bengaluru from 9 January 2023 to 13 January 2023.
  19. Participated One Day International Workshop on Differential Equations & Applications (IWDEA-2023) in hybrid mode on January 03, 2023, organized by
    School of Mathematics and Statistics & School of Data Analytics, Mahatma Gandhi University, Kottayam, Kerala, India.
  20. Participated One Day Webinar on “Bringing Lasting Changes” BY MEERA NATARAJAN Founder – Success Programming Pune organised by Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Tamil Nadu, India on 12 October 2021.
  21. Participated in Virtual & Digital ‘National Urdu Science Congress’, School of Sciences, Maulana Azad National Urdu University (A Central University), on 14th & 15th July, 2021.
  22. Participated in Virtual & Digital ‘National Conference On Innovative Challenges In Multi Disciplinary Mathematical Sciences’, PG and Research Department of Mathematics, Hindustan College of Arts and Science, An Autonomous College Affiliated to Bharathiar University, Coimbatore, Tamil Nadu, India on 16th February, 2021.
  23. Participated in the “National Conference on Emerging Trends in Mathematics and its Application”, organized by Department of Mathematics, D.A.V. College, Jalandhar, Punjab, during Feb. 04-06, 2012.
  24. Participated in the “International Conference on Differential Geometry, Functional Analysis and Applications”, Department of Mathematics, Jamia Millia Islamia, New Delhi-110 025, during Sep. 8-10, 2012.
  25. Participated in the one-day workshop on “MATHEMATICS AND ITS APPLICATIONS” organized by Department of Mathematics, Jamia Millia Islamia, New Delhi held on October 18, 2012.
  26. Participated in “Training & Awareness Program on Intellectual Property Rights” organized by The Controller general of Patents, Designs and Trademarks,
    Government of India, New Delhi held on Nov 02, 2014.
  27. Participated and presented a paper entitled “Ordered generalized bi-- ideals in ordered -semigroups” in the “International Conference on Algebra, Geometry,
    Analysis and their Applications”, organized by Department of Mathematics, Jamia Millia Islamia, New Delhi during November 27-29, 2014.
  28. Attended Two-Days Workshop on “Topics in Algebraic Topology and Applications” organized by The National Academy of Sciences, Allahabad, Uttar Pradesh, India during Dec 22-23, 2015.
  29. Participated in the workshop “h-index of the authors of Indian Journals” organized by Dr. Zakir Husain Library, Jamia Millia Islamia, New Delhi. on October 8, 2015.

Membership of Scientific/Academic Organization:

Life Member of Andhra Pradesh Society for Mathematical Sciences (LM-1081).
Member of Allahabad Mathematical Society, 2017(AM /17/03).

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