Semigroups with certain finiteness conditions and Chernikov groups

• Published in: Algebra and Discrete Mathematics
• Date: 2012
• ISSN: 1726-3255
• Main Author: Shevrin, L.N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152212
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Semigroups with certain finiteness conditions and Chernikov groups / L.N. Shevrin // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 2. — С. 299–306. — Бібліогр.: 6 назв. — англ.

The main purpose of this short survey is to show how groups of special structure, which are accepted to be called Chernikov groups, appeared in the considerations of semigroups with certain finiteness conditions. A structure of groups with several such conditions has been described (they turned out...