Centralizer near-rings over free ring modules-Reference-Cited by-同舟云学术

Centralizer near-rings over free ring modules

Published:1991-04 Issue:2 Volume:50 Page:279-296
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Maxson C. J.,Van Der Walt A. P. J.

Abstract

AbstractWe treat centralizer near-rings over ring modules in general, with particular emphasis on the case of free modules. Questions like the following are answered. When is the near-ring a nonring? When is the near-ring simple? What are its maximal and minimal left ideals? What is its subgroup structure? What is the radical? The cases where the ring concerned is a PID or a field are treated in some detail.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference5 articles.

1. Centralizer near-rings that are endomorphism rings

2. Simple near-ring centralizers of finite rings

3. [1] Fuchs P. , Ultraproducts of Ω-groups, (Ph.D.-thesis, Linz, 1985).

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