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: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2003-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203205251 |
| id |
doaj-0122501948494f8c927b03ea5e5975cc |
|---|---|
| record_format |
Article |
| spelling |
doaj-0122501948494f8c927b03ea5e5975cc2020-11-24T21:11:55ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003953353810.1155/S0161171203205251Isomorphism of generalized triangular matrix-rings and recovery of tilesR. Khazal0S. Dăscălescu1L. Van Wyk2Department of Mathematics and Computer Science, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitDepartment of Mathematics and Computer Science, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitDepartment of Mathematics, Stellenbosch University, Private Bag X1, Stellenbosch 7602, South AfricaWe 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.http://dx.doi.org/10.1155/S0161171203205251 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
R. Khazal S. Dăscălescu L. Van Wyk |
| spellingShingle |
R. Khazal S. Dăscălescu L. Van Wyk Isomorphism of generalized triangular matrix-rings and recovery of tiles International Journal of Mathematics and Mathematical Sciences |
| author_facet |
R. Khazal S. Dăscălescu L. Van Wyk |
| author_sort |
R. Khazal |
| title |
Isomorphism of generalized triangular matrix-rings and recovery of tiles |
| title_short |
Isomorphism of generalized triangular matrix-rings and recovery of tiles |
| title_full |
Isomorphism of generalized triangular matrix-rings and recovery of tiles |
| title_fullStr |
Isomorphism of generalized triangular matrix-rings and recovery of tiles |
| title_full_unstemmed |
Isomorphism of generalized triangular matrix-rings and recovery of tiles |
| title_sort |
isomorphism of generalized triangular matrix-rings and recovery of tiles |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2003-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/S0161171203205251 |
| work_keys_str_mv |
AT rkhazal isomorphismofgeneralizedtriangularmatrixringsandrecoveryoftiles AT sdascalescu isomorphismofgeneralizedtriangularmatrixringsandrecoveryoftiles AT lvanwyk isomorphismofgeneralizedtriangularmatrixringsandrecoveryoftiles |
| _version_ |
1716752202592157696 |