International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 9, Pages 533-538
doi:10.1155/S0161171203205251

Isomorphism of generalized triangular matrix-rings and recovery of tiles

R. Khazal,1 S. Dăscălescu,1 and L. Van Wyk2

 1Department of Mathematics and Computer Science, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
2Department of Mathematics, Stellenbosch University, Private Bag X1, Stellenbosch 7602, South Africa
Received 5 May 2002

Abstract

We prove an isomorphism theorem for generalized triangular matrix-rings, over rings having only the idempotents 0and 1, in particular, over indecomposable commutative rings or over local rings (not necessarily commutative). As a consequence, we obtain a recovery result for the tile in a tiled matrix-ring.