Chikunji, Chiteng’a John On a class of rings of order \(p^5\). (English) Zbl 1055.16023 Math. J. Okayama Univ. 45, 59-71 (2003). Finite rings form a class of rings which many ring theorists are studying. This paper describes all rings of order \(p^5\), of a certain class of finite rings which satisfy the conditions (1) the set of all zero-divisors forms an ideal \(M\); (2) \(M^3=0\); and (3) \(M^2\neq 0\). Reviewer: Xue Weimin (Fujian) Cited in 2 Documents MSC: 16P10 Finite rings and finite-dimensional associative algebras 13M05 Structure of finite commutative rings Keywords:finite rings; local rings; characteristic \(p\); numbers of rings; additive groups PDFBibTeX XMLCite \textit{C. J. Chikunji}, Math. J. Okayama Univ. 45, 59--71 (2003; Zbl 1055.16023)