Dedekind-Finite Strongly Clean Rings
| Autor: | Thomas J. Dorsey, Pace P. Nielsen, Victor Camillo |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Communications in Algebra. 42:1619-1629 |
| ISSN: | 1532-4125 0092-7872 |
| DOI: | 10.1080/00927872.2012.746976 |
| Popis: | In this article we partially answer two open questions concerning clean rings. First, we demonstrate that if a quasi-continuous module is strongly clean then it is Dedekind-finite. Second, we prove a partial converse. We also prove that all clean decompositions on submodules of continuous modules extend to the entire module. |
| Databáze: | OpenAIRE |
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