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Title: Self-Small SP-Groups with Clean Endomorphism Rings

Abstract

In this work, some aspects of cleanness of endomorphism rings of SP-groups are considered. These groups form one of the classes of mixed Abelian groups. The cleanness of endomorphism rings of self-small SP-groups is proved. Some sufficient conditions are found for the converse proposition to hold.

Authors:
 [1]
  1. Tomsk State University (Russian Federation)
Publication Date:
OSTI Identifier:
22771348
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; GROUP THEORY; RINGS; SP GROUPS; VECTORS

Citation Formats

Sorokin, K. S., E-mail: sorokin-k@list.ru. Self-Small SP-Groups with Clean Endomorphism Rings. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3752-X.
Sorokin, K. S., E-mail: sorokin-k@list.ru. Self-Small SP-Groups with Clean Endomorphism Rings. United States. doi:10.1007/S10958-018-3752-X.
Sorokin, K. S., E-mail: sorokin-k@list.ru. Sun . "Self-Small SP-Groups with Clean Endomorphism Rings". United States. doi:10.1007/S10958-018-3752-X.
@article{osti_22771348,
title = {Self-Small SP-Groups with Clean Endomorphism Rings},
author = {Sorokin, K. S., E-mail: sorokin-k@list.ru},
abstractNote = {In this work, some aspects of cleanness of endomorphism rings of SP-groups are considered. These groups form one of the classes of mixed Abelian groups. The cleanness of endomorphism rings of self-small SP-groups is proved. Some sufficient conditions are found for the converse proposition to hold.},
doi = {10.1007/S10958-018-3752-X},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 3,
volume = 230,
place = {United States},
year = {2018},
month = {4}
}