2009/07/07 by Alexander J. Diesl, Thomas J. Dorsey, Diesl, Alexander J. +3 · 1 citation
Mathematics · #Rings, Modules, and Algebras #Advanced Topics in Algebra #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.0907.1141
Given a ring R, we study the bimodules M for which the trivial extension R∝ M is morphic. We obtain a complete characterization in the case where R is left perfect, and we prove that R∝ 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.