Dr. A. M. Buhphang

Designation: Associate Professor

Department: Mathematics

Qualifications:

M.Phil. (NEHU), PhD. (NEHU)

Website: www.sites.google.com/view/ardeline

Areas of Interest/Specialization: Associative Algebras

Experience: 21 years

Ph.D. : Awarded: 5, Ongoing: 3.

M.Phil. Student: Awarded: 5.

Administrative responsibilities undertaken:

  1. Teacher-in-charge of the department during 01.09.2016 till 05.12.2018.
  2. Co-Ordinator of UGC-SAP (DRS, Phase-II) for a period of five years from 01.04.2016 till 31.03.2021.
  3. Currently, Teacher-in-charge of the department since January 2022.

Publications

  1. Buhphang A.M. and Rege M.B., Semi-commutative modules and Semi-commutative modules and Armendariz modules, Arab Journal of Math. Sc., 8(2002), pp.53-65.
  2. Rege M.B. and Buhphang A.M., Integrally closed rings and the Armendariz property, International Electronic Journal of Algebra, 1(2007), pp.11-17.
  3. Rege M.B. and Buhphang A.M., On reduced modules and rings, International Electronic Journal of Algebra, 3(2008), pp.58-74.
  4. Subedi T. and Buhphang A.M., On weakly regular rings and generalizations of V-rings, International Electronic Journal of Algebra, 10(2011), pp.162-173.
  5. Subedi T. and Buhphang A.M., On strongly regular rings and generalizations of V-rings, International Electronic Journal of Algebra, 14(2013), pp.10-18.
  6. Buhphang A.M., Halicioglu S., Harmanci A., Hera Singh K., Kose H.Y and Rege M.B., On rigid modules, East West Journal of Mathematics, Vol. 15, No. 1 (2013), pp. 71-85.
  7. Subedi T. and Buhphang A.M., On SF-rings and regular rings, Kyungpook Mathematical Journal, 53(2013), pp.397-406.
  8. Subedi T. and Buhphang A.M., On left SF-rings and strongly regular rings, Kyungpook Mathematical Journal, 56(2016), pp.861-866.
  9. Das, S. and Buhphang, A.M., Rings characterized by dual-Utumi-modules, Journal of Algebra and its Applications, (2019) 2050229. 
  10. Buhphang, A.M., Das, S., Gonzalez, C.M. and Molina, M.S. (2020) Socle-injective semiprime rings, with some applications to Leavitt path algebras, Communications in Algebra, 49(3)(2021), 1128 – 1145.
  11. Das, S. and Buhphang, A.M., On principally small-injective rings, Rendiconti del Circolo Matematico di Palermo Series 2,(2021).
  12. Das, S. and Buhphang, A.M., On rings whose cyclic are Utumi modules, Palestine Journal of Mathematics, vol. 11(2)(2022), 362-371.
  13. Subba, S., Subedi, T. and Buhphang, A.M., Pointwise Semicommutative Rings, https://arxiv.org/abs/2206.01464 (To appear in "Mathematical Notes")
  14. Singh, H., Buhphang, A.M. and Rege, M.B., Armendariz Modules and Niltorsionless Modules, Mathematical Reports, 25(75)(2023), 319-329.
  15. Buhphang, A.M. and Dutta, D.M., On weakly nil-semicommutative rings, Journal of Algebra and Related Topics, 2023, DOI: 10.22124/JART.2023.23498.1477.
  16. Buhphang, A.M., Goswami, R. and Kuber, A., A note on injectivity of monomial algebras, https://arxiv.org/abs/2307.07958 (preprint).
  17. Dutta, D.M. and Buhphang, A.M., On nil ideals and jacobson radical of leavitt path algebras over commutative rings (To appear in "Discussiones Mathematicae - General Algebra and Applications ").

Papers presented in Conferences/Seminars:

  1. ‘Some properties of reduced modules’, Intl. Conf. on History & development of Math. Sciences during Nov.21-24, 2012, Maharishi Dayanand Univ. Rohtak.
  2. ‘Semi-commutative rings and their generalizations’, Intl. Conf. on History & development of Math. during Nov. 29-Dec. 1, 2013, JECRC University, Jaipur.
  3. ‘Some properties of n-Armendariz rings’, Non-commutative rings and their applications-IV during June 8-11, 2015, Universite d’Artois, Lens, France.
  4. ‘Some vanishing conditions on Leavitt-path algebras’, Asia-Australia Algebra Conference during January 21-25, 2019, Western Sydney University.

Workshops and Conferences:

  1. Noncommutative rings and their applications - IV, University of Artois, France, 8th June, 2015 - 11th June, 2015. 
  2. Recent Trends in Non-Commutative Algebras, IISER Pune, India, 19th June, 2017 - 30th June, 2017. 
  3. Topics in Ring Theory, Muizenberg, South Africa, 16th July, 2018 - 28th July, 2018.
  4.  School on Cluster Algebra, ICTS Bangalore, India, 8th December, 2018 - 22nd December, 2018.
  5. Asia - Australia Algebra Conference, Western Sydney University, Australia, 21st January, 2019 - 25th January, 2019.

Workshops Organized:

  1. Satellite Conference on Rings and Near Rings funded by the International Congress of Mathematics, 2010.
  2. UGC SAP Conference on Topology and Algebra, 2018 and 2019.
  3. Instructional School for Teachers on Rings and Modules sponsored by the National Centre for Mathematics, 2019.
  4. Instructional School for Teachers on Algebra and Number Theory sponsored by the National Centre for Mathematics, 2023.