IJPAM: Volume 54, No. 4 (2009)
ON THE STRUCTURES OF QUOTIENT GROUPS
Omolo N. Ongati
, Owino Maurice Oduor
Department of Mathematics and Applied Statistics
Maseno University
P.O. Box 333, Maseno, KENYA
e-mail: omolo_ongati@yahoo.com
e-mail: morricearaka@yahoo.com



Maseno University
P.O. Box 333, Maseno, KENYA


Abstract.Let be the Jacobson radical of a commutative completely primary finite ring
such that
and
Then
, the finite field of
elements, and the characteristic of
is
where
and
is some prime integer. In this paper, we determine the structures of the quotient groups
for every characteristic of
and
.
Received: May 22, 2009
AMS Subject Classification: 13M05, 16U60
Key Words and Phrases: quotient groups, completely primary finite rings
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 54
Issue: 4