A CHARACTERIZATION OF CERTAIN MORPHIC TRIVIAL EXTENSIONS
| Autor: | Warren Wm. McGovern, Alexander J. Diesl, Thomas J. Dorsey |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Reduced ring
Discrete mathematics Principal ideal ring Pure mathematics Algebra and Number Theory Noncommutative ring Mathematics::Commutative Algebra 16S70 Applied Mathematics 16E50 Mathematics - Rings and Algebras Primitive ring Localization of a ring Rings and Algebras (math.RA) Mathematics::K-Theory and Homology FOS: Mathematics Zero ring Von Neumann regular ring Quotient ring Computer Science::Formal Languages and Automata Theory Mathematics |
| Zdroj: | Journal of Algebra and Its Applications. 10:623-642 |
| ISSN: | 1793-6829 0219-4988 |
| DOI: | 10.1142/s021949881100480x |
| Popis: | Given a ring $R$, we study the bimodules $M$ for which the trivial extension $R\propto M$ is morphic. We obtain a complete characterization in the case where $R$ is left perfect, and we prove that $R\propto Q/R$ is morphic when $R$ is a commutative reduced ring with classical ring of quotients $Q$. We also extend some known results concerning the connection between morphic rings and unit regular rings. 24 pages |
| Databáze: | OpenAIRE |
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