| dc.contributor.author | Ongati, Naftali O. | |
| dc.contributor.author | Oduor, Owino M. | |
| dc.date.accessioned | 2016-12-07T06:53:40Z | |
| dc.date.available | 2016-12-07T06:53:40Z | |
| dc.date.issued | 5/22/2009 | |
| dc.identifier.uri | http://www.ijpam.eu/contents/2009-54-4/4/4.pdf | |
| dc.identifier.uri | http://62.24.102.115:8080/xmlui/handle/123456789/235 | |
| dc.description.abstract | Let J be the Jacobson radical of a commutative completely primary
finite ring R such that J
k 6= (0) and J
k+1 = (0). Then R/J ∼= GF(p
r
), the
finite field of p
r
elements, and the characteristic of R is p
k where k ≥ 2 and p is
some prime integer. In this paper, we determine the structures of the quotient
groups 1 + J
i/1 + J
i+1 for every characteristic of R and 1 ≤ i ≤ k − 1. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Publications | en_US |
| dc.subject | quotient groups | en_US |
| dc.subject | completely primary finite rings | en_US |
| dc.title | On the structures of quotient groups | en_US |
| dc.type | Article | en_US |
