Email this article Algebraically Compact Abelian Groups with UA-Rings of Endomorphisms
- Authors: Lyubimtsev O.V.1
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Affiliations:
- Nizhny Novgorod State Architectural and Construction University
- Issue: Vol 230, No 3 (2018)
- Pages: 433-438
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240713
- DOI: https://doi.org/10.1007/s10958-018-3750-z
- ID: 240713
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Abstract
A ring K is said to be a unique addition ring (UA-ring) if on its multiplicative semigroup (K, ·) it is possible to set only one binary operation of + turning (K, ·, +) into a ring. We call an Abelian group an End-UA-group if its endomorphism ring is a UA-ring. In this paper, End-UA-groups are found in a class of algebraically compact Abelian groups.
About the authors
O. V. Lyubimtsev
Nizhny Novgorod State Architectural and Construction University
Author for correspondence.
Email: Oleg_lyubimcev@mail.ru
Russian Federation, Ilyinskaya St., 65, Nizhny Novgorod, 603109
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