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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2012 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2012
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/152212 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862581501612261376 |
|---|---|
| author | Shevrin, L.N. |
| author_facet | Shevrin, L.N. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-11-26T22:58:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152212 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-26T22:58:25Z |
| publishDate | 2012 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Shevrin, L.N. 2019-06-08T18:38:08Z 2019-06-08T18:38:08Z 2012 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. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/152212 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. English version of the paper published in Russian in the book “Algebra and Linear Inequalities. To the Centennial of the Birthday of S. N. Chernikov”, Ekaterinburg, 2012. Supported by the Russian Foundation for Basic Research, grant 10-01-00524. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Semigroups with certain finiteness conditions and Chernikov groups Article published earlier |
| spellingShingle | Semigroups with certain finiteness conditions and Chernikov groups Shevrin, L.N. |
| title | 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_short | Semigroups with certain finiteness conditions and Chernikov groups |
| title_sort | semigroups with certain finiteness conditions and chernikov groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152212 |
| work_keys_str_mv | AT shevrinln semigroupswithcertainfinitenessconditionsandchernikovgroups |