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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 8, Pages 139–145
(Mi fpm1477)
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This article is cited in 1 scientific paper (total in 1 paper)
Torsion Abelian afi-groups
Pham Thi Thu Thuy Moscow State Pedagogical University
Abstract:
This paper is devoted to the study of Abelian afi-groups. A subgroup $A$ of an Abelian group $G$ is called its absolute ideal if $A$ is an ideal of any ring on $G$. We will call an Abelian group an afi-group if all of its absolute ideals are fully invariant subgroups. In this paper, we will describe afi-groups in the class of fully transitive torsion groups (in particular, separable torsion groups) and divisible torsion groups.
Citation:
Pham Thi Thu Thuy, “Torsion Abelian afi-groups”, Fundam. Prikl. Mat., 17:8 (2012), 139–145; J. Math. Sci., 197:5 (2014), 679–683
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https://www.mathnet.ru/eng/fpm1477 https://www.mathnet.ru/eng/fpm/v17/i8/p139
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Abstract page: | 692 | Full-text PDF : | 127 | References: | 59 | First page: | 2 |
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