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Title: Indecomposable p-Local Torsion-Free Groups with Quadratic and Cubic Splitting Fields

Abstract

Indecomposable torsion-free p-local Abelian groups of finite rank with quadratic and cubic splitting field K are characterized. As a consequence, for groups with quadratic splitting field K it is proved that K-decomposable p-local torsion-free Abelian groups of finite rank are isomorphic if and only if their endomorphism rings are isomorphic.

Authors:
 [1]
  1. Moscow State Pedagogical University (Russian Federation)
Publication Date:
OSTI Identifier:
22771359
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; FIELD THEORIES; GROUP THEORY; RINGS; TORSION

Citation Formats

Vershina, S. V., E-mail: svetlanavershina@gmail.com. Indecomposable p-Local Torsion-Free Groups with Quadratic and Cubic Splitting Fields. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3741-0.
Vershina, S. V., E-mail: svetlanavershina@gmail.com. Indecomposable p-Local Torsion-Free Groups with Quadratic and Cubic Splitting Fields. United States. doi:10.1007/S10958-018-3741-0.
Vershina, S. V., E-mail: svetlanavershina@gmail.com. Sun . "Indecomposable p-Local Torsion-Free Groups with Quadratic and Cubic Splitting Fields". United States. doi:10.1007/S10958-018-3741-0.
@article{osti_22771359,
title = {Indecomposable p-Local Torsion-Free Groups with Quadratic and Cubic Splitting Fields},
author = {Vershina, S. V., E-mail: svetlanavershina@gmail.com},
abstractNote = {Indecomposable torsion-free p-local Abelian groups of finite rank with quadratic and cubic splitting field K are characterized. As a consequence, for groups with quadratic splitting field K it is proved that K-decomposable p-local torsion-free Abelian groups of finite rank are isomorphic if and only if their endomorphism rings are isomorphic.},
doi = {10.1007/S10958-018-3741-0},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 3,
volume = 230,
place = {United States},
year = {2018},
month = {4}
}