A Characterization of Certain Morphic Trivial Extensions
arXiv:0907.1141
Abstract
Given a ring , we study the bimodules for which the trivial extension is morphic. We obtain a complete characterization in the case where is left perfect, and we prove that is morphic when is a commutative reduced ring with classical ring of quotients . We also extend some known results concerning the connection between morphic rings and unit regular rings.
24 pages