Semigroups with certain finiteness conditions and Chernikov groups
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...
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Lugansk National Taras Shevchenko University
2018
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oai:ojs.admjournal.luguniv.edu.ua:article-7062018-04-04T09:53:26Z Semigroups with certain finiteness conditions and Chernikov groups Shevrin, L. N. finiteness condition, epigroup, finitely assembled semigroup, Chernikov group 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 to be special types of Chernikov groups). Lastly, a question concerning some special type of Chernikov groups is recalled; this question was raised by the author more than 35 years ago, and it is still open. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/706 Algebra and Discrete Mathematics; Vol 13, No 2 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/706/239 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-04-04T09:53:26Z |
| collection |
OJS |
| language |
English |
| topic |
finiteness condition epigroup finitely assembled semigroup Chernikov group |
| spellingShingle |
finiteness condition epigroup finitely assembled semigroup Chernikov group Shevrin, L. N. Semigroups with certain finiteness conditions and Chernikov groups |
| topic_facet |
finiteness condition epigroup finitely assembled semigroup Chernikov group |
| format |
Article |
| author |
Shevrin, L. N. |
| author_facet |
Shevrin, L. N. |
| author_sort |
Shevrin, L. N. |
| title |
Semigroups with certain finiteness conditions and Chernikov groups |
| title_short |
Semigroups with certain finiteness conditions and Chernikov groups |
| title_full |
Semigroups with certain finiteness conditions and Chernikov groups |
| title_fullStr |
Semigroups with certain finiteness conditions and Chernikov groups |
| title_full_unstemmed |
Semigroups with certain finiteness conditions and Chernikov groups |
| title_sort |
semigroups with certain finiteness conditions and chernikov groups |
| description |
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 to be special types of Chernikov groups). Lastly, a question concerning some special type of Chernikov groups is recalled; this question was raised by the author more than 35 years ago, and it is still open. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/706 |
| work_keys_str_mv |
AT shevrinln semigroupswithcertainfinitenessconditionsandchernikovgroups |
| first_indexed |
2025-07-17T10:34:36Z |
| last_indexed |
2025-07-17T10:34:36Z |
| _version_ |
1837889987346956289 |