N. G. Khisamiev, V. A. Roman'kov, S. D. Tynybekova, “A criterion for effective complete decomposability of abelian groups”, Eurasian Math. J., 2022, Volume 13, Number 2,Pages <nobr>62–69</nobr>

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Eurasian Math. J., 2022 Volume 13, Number 2, Pages 62–69 (Mi emj439)

A criterion for effective complete decomposability of abelian groups

N. G. Khisamiev^a, V. A. Roman'kov^b, S. D. Tynybekova^a

^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

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.

MSC: 20K25, 03C57, 03D78

Received: 10.05.2021

Language: English

DOI: 10.32523/2077-9879-2022-13-2-62-69

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© Steklov Math. Inst. of RAS, 2024