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Title: On the Quasi-Endomorphism Rings of Quasi-Decomposable Torsion-Free Abelian Groups of Rank 4 with a Strongly Indecomposable Quasi-Summand of Rank 2

Abstract

We obtain a description of quasi-endomorphism rings of torsion-free Abelian groups G of rank 4 that are quasi-decomposable into a direct sum of groups A{sub 1} and A{sub 2} of rank 1 and a strongly indecomposable group B of rank 2 in the case where the quasi-homomorphism group ℚ ⨂ Hom(B,A{sub 2}) has rank 2.

Authors:
 [1]
  1. Kostroma State Technological University (Russian Federation)
Publication Date:
OSTI Identifier:
22771343
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 3; Conference: 5. All-Russian symposium on abelian groups, Biysk (Russian Federation), 20-25 Aug 2012; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ALGEBRA; GROUP THEORY; TORSION

Citation Formats

Cherednikova, A. V., E-mail: av-cherednikova@list.ru. On the Quasi-Endomorphism Rings of Quasi-Decomposable Torsion-Free Abelian Groups of Rank 4 with a Strongly Indecomposable Quasi-Summand of Rank 2. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3757-5.
Cherednikova, A. V., E-mail: av-cherednikova@list.ru. On the Quasi-Endomorphism Rings of Quasi-Decomposable Torsion-Free Abelian Groups of Rank 4 with a Strongly Indecomposable Quasi-Summand of Rank 2. United States. doi:10.1007/S10958-018-3757-5.
Cherednikova, A. V., E-mail: av-cherednikova@list.ru. Sun . "On the Quasi-Endomorphism Rings of Quasi-Decomposable Torsion-Free Abelian Groups of Rank 4 with a Strongly Indecomposable Quasi-Summand of Rank 2". United States. doi:10.1007/S10958-018-3757-5.
@article{osti_22771343,
title = {On the Quasi-Endomorphism Rings of Quasi-Decomposable Torsion-Free Abelian Groups of Rank 4 with a Strongly Indecomposable Quasi-Summand of Rank 2},
author = {Cherednikova, A. V., E-mail: av-cherednikova@list.ru},
abstractNote = {We obtain a description of quasi-endomorphism rings of torsion-free Abelian groups G of rank 4 that are quasi-decomposable into a direct sum of groups A{sub 1} and A{sub 2} of rank 1 and a strongly indecomposable group B of rank 2 in the case where the quasi-homomorphism group ℚ ⨂ Hom(B,A{sub 2}) has rank 2.},
doi = {10.1007/S10958-018-3757-5},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 3,
volume = 230,
place = {United States},
year = {2018},
month = {4}
}