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Matrix Near-rings over Centralizer Near-rings

Matrix Near-rings over Centralizer Near-rings For a finite group G and a subgroup A of Aut(G), let M A (G) denote the centralizer near-ring determined by A and G. The group G is an M A (G)-module. Using the action of M A (G) on G, one has the n × n generalized matrix near-ring Mat n (M A (G);G). The correspondence between the ideals of M A (G) and those of Mat n (M A (G);G) is investigated. It is shown that if every ideal of M A (G) is an annihilator ideal, then there is a bijection between the ideals of M A (G) and those of Mat n (M A (G);G). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Algebra Colloquium Springer Journals

Matrix Near-rings over Centralizer Near-rings

Smith, Kirby; Wyk, Leon
Algebra Colloquium , Volume 7 (1) – Jan 1, 2000
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Publisher
Springer Journals
Copyright
Copyright © 2000 by Springer-Verlag Hong Kong
Subject
Mathematics; Algebra; Algebraic Geometry
ISSN
1005-3867
eISSN
0219-1733
DOI
10.1007/s10011-000-0005-5
Publisher site
See Article on Publisher Site

Abstract

For a finite group G and a subgroup A of Aut(G), let M A (G) denote the centralizer near-ring determined by A and G. The group G is an M A (G)-module. Using the action of M A (G) on G, one has the n × n generalized matrix near-ring Mat n (M A (G);G). The correspondence between the ideals of M A (G) and those of Mat n (M A (G);G) is investigated. It is shown that if every ideal of M A (G) is an annihilator ideal, then there is a bijection between the ideals of M A (G) and those of Mat n (M A (G);G).

Journal

Algebra Colloquium – Springer Journals

Published: Jan 1, 2000

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