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Fundam. Prikl. Mat., 2012, Volume 17, Issue 8, Pages 109–138 (Mi fpm1476)  

Torsion Abelian RAI-groups

Pham Thi Thu Thuy

Moscow State Pedagogical University

Abstract: A subgroup $A$ of an Abelian group $G$ is called its absolute ideal if $A$ is an ideal of any ring on $G$. An Abelian group is called an RAI-group if there exists a ring on it in which every ideal is absolute. The problem of describing RAI-groups was formulated by L. Fuchs (Problem 93). In this paper, absolute ideals of torsion Abelian groups and torsion Abelian RAI-groups are described.

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English version:
Journal of Mathematical Sciences (New York), 2014, 197:5, 658–678

UDC: 512.541

Citation: Pham Thi Thu Thuy, “Torsion Abelian RAI-groups”, Fundam. Prikl. Mat., 17:8 (2012), 109–138; J. Math. Sci., 197:5 (2014), 658–678

Citation in format AMSBIB
\Bibitem{Thu12}
\by Pham Thi Thu Thuy
\paper Torsion Abelian RAI-groups
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 8
\pages 109--138
\mathnet{http://mi.mathnet.ru/fpm1476}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 197
\issue 5
\pages 658--678
\crossref{https://doi.org/10.1007/s10958-014-1749-7}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84893833755}


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  • Фундаментальная и прикладная математика
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