Mathematical Journal of Okayama University volume68 issue1
2026-01 発行
On groups of units of commutative finite rings
Chikunji, Chiteng’a John
Department of Biometry and Mathematics, Botswana University of Agriculture and Natural Resources
Publication Date
2026-01
Abstract
Let R be a commutative completely primary finite ring with unique maximal ideal J such that J3 = {0} and J2 ̸= {0}. In this paper, we investigate and determine the structure of the group of units U(R) of the ring R of characteristic p3 without giving any conditions on the generators for the maximal ideal J or on the invariants of the ring R.
Keywords
commutative finite rings
unit groups
Comments
Mathematics Subject Classification. Primary 13M05, 16P10; Secondary 16U60, 20K25.
ISSN
0030-1566
NCID
AA00723502
