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Matematicheskie Zametki, 2008, Volume 84, Issue 4, Pages 595–601
DOI: https://doi.org/10.4213/mzm6138 (Mi mzm6138) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Definability of Abelian Groups by Homomorphism Groups and Endomorphism Semigroups

A. M. Sebel'din, A. E. Smorkalova

Nizhny Novgorod State Pedagogical University
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DOI: https://doi.org/10.4213/mzm6138
Abstract: In the paper, the isomorphism problem for completely decomposable Abelian torsion-free groups of finite rank is treated under the assumption that the groups of homomorphisms of these groups into some Abelian group are isomorphic and, moreover, the endomorphism semigroups of the groups are isomorphic.
Keywords: completely decomposable Abelian group, torsion-free group, endomorphism semigroup, almost divisible group.
Received: 25.10.2006
English version:
Mathematical Notes, 2008, Volume 84, Issue 4, Pages 555–560
DOI: https://doi.org/10.1134/S0001434608090277
Bibliographic databases:
UDC: 512.541
Language: Russian
Citation: A. M. Sebel'din, A. E. Smorkalova, “Definability of Abelian Groups by Homomorphism Groups and Endomorphism Semigroups”, Mat. Zametki, 84:4 (2008), 595–601; Math. Notes, 84:4 (2008), 555–560
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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