Characterizing some rings of finite order

RK Nath, J Dutta, D Basnet - Tamkang Journal of …, 2022 - journals.math.tku.edu.tw
In this paper, we compute the number of distinct centralizers of some classes of finite rings.
We then characterize all finite rings with $ n $ distinct centralizers for any positive integer …

A note on -centralizer finite rings

J Dutta, DK Basnet, RK Nath - arXiv preprint arXiv:1512.00973, 2015 - arxiv.org
arXiv:1512.00973v1 [math.RA] 3 Dec 2015 Page 1 arXiv:1512.00973v1 [math.RA] 3 Dec
2015 A note on n-centralizer finite rings Jutirekha Dutta, Dhiren K. Basnet and Rajat K. Nath∗ …

Solving systems of algebraic equations over finite commutative rings and applications

HT Kamche, HT Kalachi - Applicable Algebra in Engineering …, 2024 - Springer
Several problems in algebraic geometry and coding theory over finite rings are modeled by
systems of algebraic equations. Among these problems, we have the rank decoding …

Characterizing some rings of finite order

J Dutta, DK Basnet, RK Nath - arXiv preprint arXiv:1510.08207, 2015 - arxiv.org
In this paper, we compute the number of distinct centralizers of some classes of finite rings.
We then characterize all finite rings with $ n $ distinct centralizers for any positive integer …

Classification of Finite Rings of Order p6 by Generators and Relations

P Karimi Beiranvand, R Beyranvand… - Journal of …, 2013 - Wiley Online Library
For any finite abelian group (R,+), we define a binary operation or “multiplication” on R and
give necessary and sufficient conditions on this multiplication for R to extend to a ring. Then …