Algebraically Compact Abelian Groups with UA-Rings of Endomorphisms
Journal Article
·
· Journal of Mathematical Sciences
- Nizhny Novgorod State Architectural and Construction University (Russian Federation)
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.
- OSTI ID:
- 22771350
- Journal Information:
- Journal of Mathematical Sciences, Vol. 230, Issue 3; Conference: 5. All-Russian symposium on abelian groups, Biysk (Russian Federation), 20-25 Aug 2012; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
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