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періодичних видань НАН України
Semigroups with certain finiteness conditions and Chernikov groups
Репозиторій DSpace/Manakin
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Semigroups with certain finiteness conditions and Chernikov groups
Посилання:
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.
Підтримка:
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.
Дата:
2012
Переглядів:
465
Завантажень:
148
Анотація:
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.
