Subrings which are closed with respect to taking the inverse
[摘要] Let S be a subring of the ring R. We investigate the question of whether s boolean AND 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. (C) 2007 Elsevier Inc. All rights reserved.
[发布日期] 2007-12-15 [发布机构]
[效力级别] [学科分类]
[关键词] group of units in a ring;subring of a ring;chain conditions;PI-ring;matrix ring;structural matrix ring;adjoint matrix [时效性]
