IJPAM: Volume 108, No. 1 (2016)
RADICAL ZERO FINITE COMMUTATIVE COMPLETELY
PRIMARY RINGS




Masinde Muliro University of Science and Technology
P.O. Box 190-50100, Kakamega, KENYA

University of Kabianga
P.O. Box 2030-20200, Kericho, KENYA

Maseno University
P.O. Box 333, Maseno, KENYA
Abstract. Let be a group. The groups
for which
is an
automorphism group have not been fully characterized. Suppose
is
a Completely Primary finite Ring with Jacobson Radical
such that
. In this case, the characteristic of
is
or
and the group of units
. The structure of
is well known, but its
automorphism group is not well documented. Given the group
,
let
denote the group of isomorphisms
with multiplication given by the composition
of functions. The structure of the automorphism groups of finite
groups is intimately connected to the structure of the finite groups
themselves. In this note, we determine the structure of
using well known procedures and to this end, extend the results
previously obtained in this area of research.
Received: February 4, 2016
AMS Subject Classification: 20K30, 16P10
Key Words and Phrases: automorphism groups, unit groups, square radical zero, completely primary rings
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DOI: 10.12732/ijpam.v108i1.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 1
Pages: 39 - 48
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This work is licensed under the Creative Commons Attribution International License (CC BY).