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Fundam. Prikl. Mat., 2016, Volume 21, Issue 1, Pages 217–224 (Mi fpm1714)  

On the $\mathrm{UA}$-properties of Abelian $sp$-groups and their endomorphism rings

D. S. Chistyakov

Moscow State Pedagogical University

Abstract: An $R$-module $A$ is said to be a $\mathrm{UA}$-module if it is not possible to change the addition of $A$ without changing the action of $R$ on $A$. A semigroup $(R,\cdot)$ is said to be a $\mathrm{UA}$-ring if there exists a unique binary operation $+$ making $(R,\cdot,+)$ into a ring. In this paper, the $\mathrm{UA}$-properties of $sp$-groups and their endomorphism rings are studied.

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English version:
Journal of Mathematical Sciences (New York), 2018, 233:5, 749–754

UDC: 512.541

Citation: D. S. Chistyakov, “On the $\mathrm{UA}$-properties of Abelian $sp$-groups and their endomorphism rings”, Fundam. Prikl. Mat., 21:1 (2016), 217–224; J. Math. Sci., 233:5 (2018), 749–754

Citation in format AMSBIB
\Bibitem{Chi16}
\by D.~S.~Chistyakov
\paper On the $\mathrm{UA}$-properties of Abelian $sp$-groups and their endomorphism rings
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 1
\pages 217--224
\mathnet{http://mi.mathnet.ru/fpm1714}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 233
\issue 5
\pages 749--754
\crossref{https://doi.org/10.1007/s10958-018-3963-1}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85050906933}


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  • Фундаментальная и прикладная математика
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