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Algebraic Geometry over Algebraic Structures. VIII. Geometric Equivalences and Special Classes of Algebraic Structures Научная публикация

Журнал

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795

Вых. Данные

Год: 2021, Том: 257, Номер: 6, Страницы: 797-813 Страниц : 17 DOI: 10.1007/s10958-021-05520-1

Авторы

Daniyarova E.Y. ¹ , Myasnikov A.G. ² , Remeslennikov V.N. ¹

Организации

1	Sobolev Institute of Mathematics, Omsk, Russian Federation
2	Schaefer School of Engineering and Science, Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ, United States

Информация о финансировании (1)

Российский научный фонд

17-11-01117

This paper belongs to our series of works on algebraic geometry over arbitrary algebraic structures. In this one, there will be investigated seven equivalences (namely: geometric, universal geometric, quasi-equational, universal, elementary, and combinations thereof) in specific classes of algebraic structures (equationally Noetherian, qω-compact, uω-compact, equational domains, equational co-domains, etc.). The main questions are the following: (1) Which equivalences coincide inside a given class K, which do not? (2) With respect to which equivalences a given class K is invariant, with respect to which it is not? © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

Daniyarova E.Y. , Myasnikov A.G. , Remeslennikov V.N.
Algebraic Geometry over Algebraic Structures. VIII. Geometric Equivalences and Special Classes of Algebraic Structures
Journal of Mathematical Sciences (United States). 2021. V.257. N6. P.797-813. DOI: 10.1007/s10958-021-05520-1 Scopus OpenAlex

Scopus:	2-s2.0-85114798637
OpenAlex:	W3200255034

БД	Цитирований
Scopus	1
OpenAlex	2