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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.RA2008
The centralizer of an element in an endomorphism ring
Jeno Szigeti, Leon van Wyk
We have results about the centralizer.
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…