A CHARACTERIZATION OF CERTAIN MORPHIC TRIVIAL EXTENSIONS

作者:Diesl Alexander J*; Dorsey Thomas J; Mcgovern Warren Wm
来源:Journal of Algebra and Its Applications, 2011, 10(4): 623-642.
DOI:10.1142/S021949881100480X

摘要

Given a ring R, we study the bimodules M for which the trivial extension R alpha M is morphic. We obtain a complete characterization in the case where R is left perfect, and we prove that R alpha 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.

  • 出版日期2011-8