2 papers
math.RA2009★ 1 cited
A note on completeness in the theory of strongly clean rings
Alexander J. Diesl, Thomas J. Dorsey
Many authors have investigated the behavior of strong cleanness under certain ring extensions. In this note, we prove that if is a ring which is complete with respect to an ide…
math.RA2009★ 1 cited
A Characterization of Certain Morphic Trivial Extensions
Alexander J. Diesl, Thomas J. Dorsey, Warren Wm. McGovern
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, a…