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Strong cleanness of the matrix ring over a general local ring
- Source :
-
Journal of Algebra . Sep2008, Vol. 320 Issue 6, p2280-2290. 11p. - Publication Year :
- 2008
-
Abstract
- Abstract: A ring R is called strongly clean if every element of R is the sum of a unit and an idempotent that commute with each other. A recent result of Borooah, Diesl and Dorsey [G. Borooah, A.J. Diesl, T.J. Dorsey, Strongly clean matrix rings over commutative local rings, J. Pure Appl. Algebra 212 (1) (2008) 281–296] completely characterized the commutative local rings R for which is strongly clean. For a general local ring R and , however, it is unknown when the matrix ring is strongly clean. Here we completely characterize the local rings R for which is strongly clean. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*RING extensions (Algebra)
*IDEMPOTENTS
*MODULAR arithmetic
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 320
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 33740772
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2008.06.012