Isomorphism of generalized triangular matrix-rings and recovery of tiles
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203205251 |
| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |