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Fundam. Prikl. Mat., 2015, Volume 20, Issue 5, Pages 141–148 (Mi fpm1676)  

Self-small $\mathrm{SP}$-groups with clean endomorphism rings

K. S. Sorokin

Tomsk State University

Abstract: In this work, some aspects of cleanness of endomorphism rings of $\mathrm{SP}$-groups are considered. These groups form one of the classes of mixed Abelian groups. The cleanness of endomorphism rings of self-small $\mathrm{SP}$-groups is proved. Some sufficient conditions are found for the converse proposition to hold.

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English version:
Journal of Mathematical Sciences (New York), 2018, 230:3, 445–450

Bibliographic databases:

UDC: 512.541

Citation: K. S. Sorokin, “Self-small $\mathrm{SP}$-groups with clean endomorphism rings”, Fundam. Prikl. Mat., 20:5 (2015), 141–148; J. Math. Sci., 230:3 (2018), 445–450

Citation in format AMSBIB
\Bibitem{Sor15}
\by K.~S.~Sorokin
\paper Self-small $\mathrm{SP}$-groups with clean endomorphism rings
\jour Fundam. Prikl. Mat.
\yr 2015
\vol 20
\issue 5
\pages 141--148
\mathnet{http://mi.mathnet.ru/fpm1676}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3589151}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 230
\issue 3
\pages 445--450
\crossref{https://doi.org/10.1007/s10958-018-3752-x}


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  • Фундаментальная и прикладная математика
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