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math.RA2005★ 34 cited
Commutator rings
Zachary Mesyan
A ring is called a commutator ring if every element is a sum of additive commutators. In this paper we give examples of such rings. In particular, we show that given any ring R, a…
math.RA2005
Endomorphism rings generated using small numbers of elements
Zachary Mesyan
Let R be a ring, M a nonzero left R-module, X an infinite set, and E the endomorphism ring of the direct sum of copies of M indexed by X. Given two subrings S and S' of E, we will…