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Fundam. Prikl. Mat., 2019, Volume 22, Issue 5, Pages 65–73 (Mi fpm1835)  

The lattice of fully invariant subgroups of a cotorsion group

T. G. Kemoklidze

Akaki Tsereteli State University, Kutaisi

Abstract: For separable $p$-groups, the questions concerning the full transitivity and description of the lattice of fully invariant subgroups of the cotorsion hull are discussed. We consider the case in which the cotorsion hull is not fully transitive, and construct a function, different from the indicator, that makes it possible to study the lattice of fully invariant subgroups of a cotorsion group.

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UDC: 512.54

Citation: T. G. Kemoklidze, “The lattice of fully invariant subgroups of a cotorsion group”, Fundam. Prikl. Mat., 22:5 (2019), 65–73

Citation in format AMSBIB
\Bibitem{Kem19}
\by T.~G.~Kemoklidze
\paper The lattice of fully invariant subgroups of a~cotorsion group
\jour Fundam. Prikl. Mat.
\yr 2019
\vol 22
\issue 5
\pages 65--73
\mathnet{http://mi.mathnet.ru/fpm1835}


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  • Фундаментальная и прикладная математика
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