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

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

Journal

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

Output data

Year: 2021, Volume: 257, Number: 6, Pages: 797-813 Pages count : 17 DOI: 10.1007/s10958-021-05520-1

Authors

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

Affiliations

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

Funding (1)

Russian Science Foundation

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

DB	Citing
Scopus	1
OpenAlex	2