A CHARACTERIZATION OF CERTAIN MORPHIC TRIVIAL EXTENSIONS

Type: Article

Publication Date: 2011-03-30

Citations: 3

DOI: https://doi.org/10.1142/s021949881100480x

Abstract

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.

Locations

  • Journal of Algebra and Its Applications - View
  • arXiv (Cornell University) - PDF

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