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Generalized blocked triangular matrix rings associated with finite abelian centralizer near-rings

Published online by Cambridge University Press:  20 January 2009

Kirby C. Smith  and
Leon Van Wyk
Kirby C. Smith
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843–3368, USA E-mail address: ksmith@math.tamu.edu
Leon Van Wyk
Affiliation:
Department Of Mathematics, University of Stellenbosch, Private Bag XI, Matieland 7602, South Africa E-mail address: lvw@maties.sun.ac.za
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For N any member of a large class of finite abelian right centralizer near-rings, the subring of the ring End(N) of endomorphisms of (N, +) generated by the set of right multiplication maps on N is explicitly described as a generalized blocked triangular matrix ring, which in some cases turns out to be a structural matrix ring.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 1 , February 1998 , pp. 177 - 195
Copyright
Copyright © Edinburgh Mathematical Society 1998

References

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