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arXiv · 0907.1141

A Characterization of Certain Morphic Trivial Extensions

Alexander J. Diesl·Thomas J. Dorsey·Warren Wm. McGovern
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Abstract

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.

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Alexander J. Diesl, Thomas J. Dorsey, Warren Wm. McGovern. 2009-07-07. A Characterization of Certain Morphic Trivial Extensions. https://arxiv.org/abs/0907.1141

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