A CRITERION FOR EFFECTIVE COMPLETE DECOMPOSABILITY OF ABELIAN GROUPS


Khisamiev N.G. Romankov V.A. Tynybekova S.D.
2022L.N. Gumilyov Eurasian National University

Eurasian Mathematical Journal
2022#13Issue 262 - 69 pp.

The notion of effectively {p,w} -decomposability of an abelian group is introduced and a criterion for such decomposability is obtained.

Completely decomposable abelian group , Computable group. , Effectively {p , W}-decomposable abelian group

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Departments of Information Systems and Higher Mathematics L.N. Gumilyov Eurasian National University, 2 Satpaev St, Nur-Sultan, 010008, Kazakhstan
Laboratory of Combinatorial and Computational Methods of Algebra and Logic Sobolev Institute of Mathematics SB RAS, Omsk Branch 13 Pevtsov St, Omsk, 644099, Russian Federation

Departments of Information Systems and Higher Mathematics L.N. Gumilyov Eurasian National University
Laboratory of Combinatorial and Computational Methods of Algebra and Logic Sobolev Institute of Mathematics SB RAS

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