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

Autor:	E. Yu. Daniyarova, Alexei Myasnikov, V. N. Remeslennikov
Rok vydání:	2021
Předmět:	Statistics and Probability Noetherian Pure mathematics Class (set theory) Series (mathematics) Algebraic structure Applied Mathematics General Mathematics Algebraic geometry Invariant (mathematics) Mathematics
Zdroj:	Journal of Mathematical Sciences. 257:797-813
ISSN:	1573-8795 1072-3374
Popis:	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?
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bcaf70fe8bb2f72c53400d8a5c409715 https://doi.org/10.1007/s10958-021-05520-1 Zobrazit plný text záznamu Plný text ve formátu PDF