ON GENERALIZED SEMIGROUP NEAR-RINGS

被引：1

作者：

Groenewald, Nico J. ^{[1
]}

Lee, K. S. Enoch ^{[2
]}

机构：

[1] Nelson Mandela Metropolitan Univ, Dept Math, ZA-6001 Port Elizabeth, South Africa

[2] Auburn Univ, Dept Math, Montgomery, AL 36117 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 07期

关键词：

Group near-rings; Matrix near-rings; Polynomial near-rings; Semigroup near-rings;

D O I：

10.1080/00927872.2011.621005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Meldrum and van der Walt's scheme we successfully define (generalized) semigroup near-rings which are the extensions of their ring counterpart. Some standard semigroup ring results are extended. We define contracted objects for (generalized) semigroup near-rings and show (generalized) matrix near-rings are just a special case as in rings. This theory encompasses (generalized) matrix, group, and (generalized) polynomial near-rings.

引用

页码：2261 / 2277

页数：17

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