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

E. Yu Daniyarova; A. G. Myasnikov; V. N. Remeslennikov

doi:10.1007/s10958-021-05520-1

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

E. Yu Daniyarova
, A. G. Myasnikov
, V. N. Remeslennikov

Department of Mathematical Sciences

RAS - Sobolev Institute of Mathematics, Siberian Branch

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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, q_ω-compact, u_ω-compact, equational domains, equational co-domains, etc.).

Original language	English
Pages (from-to)	797-813
Number of pages	17
Journal	Journal of Mathematical Sciences (United States)
Volume	257
Issue number	6
DOIs	https://doi.org/10.1007/s10958-021-05520-1
State	Published - Sep 2021

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

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