TY - JOUR
T1 - Algebraic geometry over algebraic structures. VIII. Geometric equivalences and special classes of algebraic structures
AU - Yu. Daniyarova, E.
AU - Myasnikov, A. G.
AU - Remeslennikov, V. N.
N1 - Publisher Copyright:
© 2019, Moscow State University. All rights reserved.
PY - 2019
Y1 - 2019
N2 - 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: Geometrical, universal geometrical, 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?.
AB - 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: Geometrical, universal geometrical, 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?.
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M3 - Article
AN - SCOPUS:85079890118
SN - 1560-5159
VL - 22
SP - 75
EP - 100
JO - Fundamental and Applied Mathematics
JF - Fundamental and Applied Mathematics
IS - 4
ER -