Semigroups with certain finiteness conditions and Chernikov groups

• Datum: 2018
• 1. Verfasser: Shevrin, L. N.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: finiteness condition; epigroup; finitely assembled semigroup; Chernikov group
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/706
• Назва журналу: Algebra and Discrete Mathematics

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...