Subrings which are closed with respect to taking the inverse

Details Subrings which are closed with respect to taking the inverse Subrings which are closed with respect to taking the inverse

2007-07-03

arxiv.org/abs/0707.0447v1

Mathematics

Rings and Algebras

Scientific paper

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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