| dc.contributor.author | Chikunji, Chiteng'a John | |
| dc.date.accessioned | 2020-10-22T08:12:01Z | |
| dc.date.accessioned | 2021-03-02T06:48:33Z | |
| dc.date.available | 2020-10-22T08:12:01Z | |
| dc.date.available | 2021-03-02T06:48:33Z | |
| dc.date.issued | 2007-06-27 | |
| dc.identifier.citation | Chiteng'a John Chikunji (1999) On a class of finite rings, Communications in Algebra, 27:10, 5049-5081, DOI: 10.1080/00927879908826747 | en_US |
| dc.identifier.issn | 1532-4125 | |
| dc.identifier.uri | https://www.tandfonline.com/doi/pdf/10.1080/00927879908826747 | |
| dc.identifier.uri | http://moodle.buan.ac.bw:80/handle/123456789/289 | |
| dc.description.abstract | In [7], Corbas determined all finite rings in which the product of any two zerodivisors is zero, and showed that they are of two types, one of characteristic p and the other of characteristic p2. The purpose of this paper is to address the problem of the classification of finite rings such that (i) the set of all zero-divisors form an ideal M; (ii) M~ = (0); and (iii) M2 # (0). Because of (i), these rings are called completely primary and urt: shall call a finite completely primary ring R which satisfies conditions (I), (ii) and (iii), a ring wtth property(T). These rings are of three types, niimely, of characteristic p, p2 and p3. The characteristic p2 case is subtLvided into cases in which p E M', p E ann(M) - M' and p E M - an~ri(M), where ann(M) denotes the two-sided annihilator of M in R | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis | en_US |
| dc.relation.ispartofseries | Communications in Algebra;Vol. 27 (10) 2007 | |
| dc.subject | Mathematics | en_US |
| dc.subject | Algebra | en_US |
| dc.subject | Finite rings | en_US |
| dc.title | On a Class of finite rings | en_US |
| dc.type | Article | en_US |
