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Eurasian Mathematical Journal, 2022, Volume 13, Number 2, Pages 62–69
DOI: https://doi.org/10.32523/2077-9879-2022-13-2-62-69 (Mi emj439) 		 
A criterion for effective complete decomposability of abelian groups

N. G. Khisamieva, V. A. Roman'kovb, S. D. Tynybekovaa

a Departments of Information Systems and Higher Mathematics, L.N. Gumilyov Eurasian National University, 2 Satpaev St., Nur-Sultan, 010008, Republic of Kazakhstan
b Laboratory of Combinatorial and Computational Methods of Algebra and Logic, Sobolev Institute of Mathematics SB RAS, Omsk Branch, 13 Pevtsov St., Omsk, 644099, Russia
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DOI: https://doi.org/10.32523/2077-9879-2022-13-2-62-69
Abstract: The notion of effective $\langle p,\omega\rangle$-decomposability of an abelian group is introduced and a criterion for such decomposability is obtained.
Keywords and phrases: completely decomposable abelian group, effectively $\langle p,\omega\rangle$-decomposable abelian group, computable group.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP08855497
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0003
The research of the first author was partially supported by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan, grant no. AP08855497 and the research of the second author was funded in accordance with the state task of the IM SB RAS, project no. FWNF-2022-0003.
Received: 10.05.2021
Bibliographic databases:
Document Type: Article
MSC: 20K25, 03C57, 03D78
Language: English
Citation: N. G. Khisamiev, V. A. Roman'kov, S. D. Tynybekova, “A criterion for effective complete decomposability of abelian groups”, Eurasian Math. J., 13:2 (2022), 62–69
Citation in format AMSBIB
\Bibitem{KhiRomTyn22}
\by N.~G.~Khisamiev, V.~A.~Roman'kov, S.~D.~Tynybekova
\paper A criterion for effective complete decomposability of abelian groups
\jour Eurasian Math. J.
\yr 2022
\vol 13
\issue 2
\pages 62--69
\mathnet{http://mi.mathnet.ru/emj439}
\crossref{https://doi.org/10.32523/2077-9879-2022-13-2-62-69}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4459176}
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