Proceedings of the Edinburgh Mathematical Society (Series 2)

Table of Contents - February 1998 - Volume 41, Issue 01  

Research Article

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

Kirby C. Smitha1 and Leon Van Wyka2

a1 Department of Mathematics, Texas A&M University, College Station, Texas 77843–3368, USA E-mail address: ksmith@math.tamu.edu

a2 Department Of Mathematics, University of Stellenbosch, Private Bag XI, Matieland 7602, South Africa E-mail address: lvw@maties.sun.ac.za

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.

(Received April 02 1996)