Matrix Near-rings over Centralizer Near-rings |
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Authors: | Kirby C Smith Leon van Wyk |
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Institution: | (1) Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368, USA;(2) Department of Mathematics, University of Stellenbosch, Private Bag XI, Matieland, 7602, South Africa |
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Abstract: | For a finite group G and a subgroup A of Aut(G), let MA(G) denote the centralizer near-ring determined by A and G. The group G is an MA(G)-module. Using the action of MA(G) on G, one has the n × n generalized matrix near-ring Matn(MA(G);G). The correspondence between the ideals of MA(G) and those of Matn(MA(G);G) is investigated. It is shown that if every ideal of MA(G) is an annihilator ideal, then there is a bijection between the ideals of MA(G) and those of Matn(MA(G);G).1991 Mathematics Subject Classification: 16Y30 |
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Keywords: | matrix near-ring centralizer near-ring |
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