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Details for article 60 of 68 found articles
| Title: |
Strong stably finite rings and some extensions |
| Author: |
M. R. Vedadi |
| Appeared in: |
Acta mathematica Universitatis Comenianae |
| Paging: | Volume LXXVIII (2009) nr. 1 pages 137-144 |
| Year: |
2009 |
| Contents: |
A ring <i>R</i> is called right strong stably finite (r.ssf) if for all <i>n ></i> 1, injective endomorphisms of <i>R<sup>n</sup><sub>R</sub></i> are essential. If <i>R</i> is an r.ssf ring and <i>eR</i> is an idempotent of <i>R</i> such that <i>eR</i> is a retractable <i>R</i>-module, then <i>eRe</i> is an r.ssf ring. A direct product of rings is an r.ssf ring if and only if each factor is so. R.ssf condition is investigated for formal triangular matrix rings. In particular, if <i>M</i> is a finitely generated module over a commutative ring <i>R</i> such that for all <i>n ></i> 1, <i>M</i><sup>(<i>n</i>)</sup><i><sub>R</sub></i> is co-Hopfian, then egin{smallmatrix} End_R(M) & M\ 0 & R end{smallmatrix} is an r.ssf ring. If <i>X</i> is a right denominator set of regular elements of <i>R</i>, then <i>R</i> is an r.ssf ring if and only if <i>RX</i><sup>–1</sup> is so. |
| Publisher: |
Acta Mathematica Universitatis Comenianae (provided by DOAJ) |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 60 of 68 found articles
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