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Description of Coordinate Groups of Irreducible Algebraic Sets over Free 2-Nilpotent Groups Научная публикация

Журнал Doklady Mathematics
ISSN: 1064-5624 , E-ISSN: 1531-8362
Вых. Данные Год: 2022, Том: 105, Номер: 2, Страницы: 68-70 Страниц : 3 DOI: 10.1134/S1064562422020041
Ключевые слова algebraic geometry over groups; algebraic set; coordinate groups; discrimination; irreducible algebraic set; universal equivalence
Авторы Amaglobeli M.G. 1 , Miasnikov A.G. 2 , Remeslennikov V.N. 3
Организации
1 Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia
2 Stevens Institute of Technology, Hoboken, United States
3 Omsk Department of the Sobolev Institute of Mathematics, Russian Academy of Sciences, Omsk, Russian Federation

Реферат: Abstract: A convenient pure algebraic description of the coordinate groups of irreducible algebraic sets over a non-Abelian free 2-nilpotent group N of finite rank is given. Note that, in algebraic geometry over an arbitrary group N, it is natural to consider groups containing N as a subgroup (so-called N-groups) and homomorphisms of N-groups which are identical on N (N-homomorphisms). As a corollary, we describe all finitely generated groups H that are universally equivalent to N (with constants from N in the language). Additionally, we give a pure algebraic criterion determining when a finitely generated N-group H that is N-separated by N is, in fact, N-discriminated by N. © 2022, Pleiades Publishing, Ltd.
Библиографическая ссылка: Amaglobeli M.G. , Miasnikov A.G. , Remeslennikov V.N.
Description of Coordinate Groups of Irreducible Algebraic Sets over Free 2-Nilpotent Groups
Doklady Mathematics. 2022. V.105. N2. P.68-70. DOI: 10.1134/S1064562422020041 WOS Scopus РИНЦ OpenAlex
Оригинальная: Амаглобели М.Г. , Мясников А.Г. , Ремесленников В.Н.
Описание координатных групп неприводимых алгебраических множеств над свободными 2-нильпотентными группами
Доклады Академии наук. Серия: Математика, информатика, процессы управления. 2022. Т.503. №1. С.23-25. DOI: 10.31857/S2686954322020047 РИНЦ
Идентификаторы БД:
Web of science: WOS:000825354000004
Scopus: 2-s2.0-85133642781
РИНЦ: 49158369
OpenAlex: W4286652286
Цитирование в БД:
БД Цитирований
Web of science 1
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