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Fundamentalnaya i Prikladnaya Matematika, 2019, Volume 22, Issue 5, Pages 65–73 (Mi fpm1835)  
The lattice of fully invariant subgroups of a cotorsion group

T. G. Kemoklidze

Faculty of Exact and Natural Sciences, A. Tsereteli Kutaisi State University, 59, Queen Tamar St., Kutaisi 4600, Georgia
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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.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 259, Issue 4, Pages 427–433
DOI: https://doi.org/10.1007/s10958-021-05631-9
Document Type: Article
UDC: 512.54
Language: Russian
Citation: T. G. Kemoklidze, “The lattice of fully invariant subgroups of a cotorsion group”, Fundam. Prikl. Mat., 22:5 (2019), 65–73; J. Math. Sci., 259:4 (2021), 427–433
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}
\transl
\jour J. Math. Sci.
\yr 2021
\vol 259
\issue 4
\pages 427--433
\crossref{https://doi.org/10.1007/s10958-021-05631-9}
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    		Фундаментальная и прикладная математика
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