9 citations · 18 across the 4 of their papers we have counts for
4 papers
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…
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…
On minimal extensions of rings
Thomas J. Dorsey, Zachary Mesyan
Given two rings , is said to be a minimal ring extension of if is a maximal subring of . In this article, we study minimal extensions of an arbitrary…
Morphic and principal-ideal group rings
Thomas J. Dorsey
We observe that the class of left and right artinian left and right morphic rings agrees with the class of artinian principal ideal rings. For an artinian principal ideal ring…