2015/10/28 by Jutirekha Dutta, Dhiren Kumar Basnet, Dutta, Jutirekha +3
Computer Science · Mathematics · #16U70 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16U70
paper · pdf · doi:10.48550/arxiv.1510.08207
arxiv created 2015/10/28 · openalex publication_date 2015/10/28 · arxiv updated 2015/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 n ≤ 5. Further we give some connections between the number of distinct centralizers of a finite ring and its commutativity degree.