Article ID Journal Published Year Pages File Type
4588475 Journal of Algebra 2007 9 Pages PDF
Abstract

Let S be a subring of the ring R. We investigate the question of whether S∩U(R)=U(S) holds for the units. In many situations our answer is positive. There is a special emphasis on the case when R is a full matrix ring and S is a structural subring of R defined by a reflexive and transitive relation.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory