Nonreduced Abelian groups with UA-rings of endomorphisms


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A ring K is a unique addition ring (a UA-ring) if its multiplicative semigroup (K, · ) can be equipped with a unique binary operation + transforming this semigroup to a ring (K, ·, +). An Abelian group is called an End-UA-group if its endomorphism ring is a UA-ring. In the paper, we find End-UA-groups in the class of nonreduced Abelian groups.

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O. Lyubimtsev

Nizhny Novgorod State University of Architecture and Civil Engineering

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Email: oleg_lyubimcev@mail.ru
俄罗斯联邦, Nizhny Novgorod

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