Subrings which are closed with respect to taking the inverse

JOURNAL OF ALGEBRA

卷:318

Article

Szigeti, Jeno¹  van Wyk, Leon² 

[1] Univ Miskolc, Inst Math, H-3515 Miskolc, Hungary

[2] Univ Stellenbosch, Dept Math Sci, ZA-7602 Matieland, South Africa

关键词: group of units in a ring;    subring of a ring;    chain conditions;    PI-ring;    matrix ring;    structural matrix ring;    adjoint matrix;   

DOI  :  10.1016/j.jalgebra.2007.08.017

来源: Elsevier

【 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.

【 授权许可】

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