Isomorphism of generalized triangular matrix-rings and recovery of tiles
R. Khazal,1S. Dăscălescu,1and L. Van Wyk2
Received05 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.