Email this article Nonreduced Abelian groups with UA-rings of endomorphisms
- Authors: Lyubimtsev O.V.1
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Affiliations:
- Nizhny Novgorod State University of Architecture and Civil Engineering
- Issue: Vol 101, No 3-4 (2017)
- Pages: 484-487
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150010
- DOI: https://doi.org/10.1134/S0001434617030105
- ID: 150010
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Abstract
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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About the authors
O. V. Lyubimtsev
Nizhny Novgorod State University of Architecture and Civil Engineering
Author for correspondence.
Email: oleg_lyubimcev@mail.ru
Russian Federation, Nizhny Novgorod
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