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arXiv · 0707.0447

Subrings which are closed with respect to taking the inverse

Jeno Szigeti·Leon van Wyk
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Abstract

Let S be a subring of the ring R. We investigate the question of whether S intersected by U(R) is equal to 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.

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Jeno Szigeti, Leon van Wyk. 2007-07-03. Subrings which are closed with respect to taking the inverse. https://arxiv.org/abs/0707.0447

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