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Details for article 34 of 39 found articles
| Title: |
Strong Cleanness of Matrix Rings Over Commutative Rings |
| Author: |
Couchot, Francois |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 36 (2008) nr. 2 pages 346-351 |
| Year: |
2008-02 |
| Contents: |
Let R be a commutative local ring. It is proved that R is Henselian if and only if each R-algebra which is a direct limit of module finite R-algebras is strongly clean. So, the matrix ring n(R) is strongly clean for each integer n > 0 if R is Henselian and we show that the converse holds if either the residue class field of R is algebraically closed or R is an integrally closed domain or R is a valuation ring. It is also shown that each R-algebra which is locally a direct limit of module-finite algebras, is strongly clean if R is a π-regular commutative ring. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 34 of 39 found articles
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