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math.RA2009★ 2 cited

Centralizers in endomorphism rings

Vesselin Drensky, Jeno Szigeti, Leon van Wyk

We prove that the centralizer Cen(f) in Hom_R(M,M) of a nilpotent endomorphism f of a finitely generated semisimple left R-module M (over an arbitrary ring R) is the homomorphic im…

math.RA2007

Subrings which are closed with respect to taking the inverse

Jeno Szigeti, Leon van Wyk

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. Ther…