Self-Small SP-Groups with Clean Endomorphism Rings

Journal Article · Sun Apr 15 00:00:00 EDT 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-3752-X· OSTI ID:22771348

Sorokin, K. S., E-mail: [e-mail] ^[1]

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1. Tomsk State University (Russian Federation)

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.

• OSTI ID: 22771348
• Journal Information: Journal of Mathematical Sciences, Vol. 230, 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); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
GROUP THEORY
RINGS
SP GROUPS
VECTORS