Zobrazeno 1 - 10
of 12
pro vyhledávání: '"E. Yu. Daniyarova"'
Publikováno v:
Journal of Mathematical Sciences. 257:797-813
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 comb
Publikováno v:
Siberian Mathematical Journal. 58:801-812
This article is a part of our effort to explain the foundations of algebraic geometry over arbitrary algebraic structures [1–8]. We introduce the concept of universal geometrical equivalence of two algebraic structures A and B of a common language
Publikováno v:
Algebra and Logic. 56:281-294
The present paper is one in our series of works on algebraic geometry over arbitrary algebraic structures, which focuses on the concept of geometrical equivalence. This concept signifies that for two geometrically equivalent algebraic structures $$ \
Publikováno v:
Algebra i logika. 57:639-661
Publikováno v:
Algebra and Logic. 51:28-40
A general theory of algebraic geometry over an arbitrary algebraic structure A in a language L with no predicates is consistently presented in a series of papers on universal algebraic geometry [5–8]. The restriction that we impose on the language
Publikováno v:
Algebra and Logic. 49:483-508
We introduce and study equational domains and equational codomains. Informally, an equational domain is an algebra every finite union of algebraic sets over which is an algebraic set; an equational codomain is an algebra every proper finite union of
Publikováno v:
Journal of Mathematical Sciences. 135:3292-3310
This paper is the first in a series of three, the aim of which is to lay the foundations of algebraic geometry over the free metabelian Lie algebra $F$. In the current paper we introduce the notion of a metabelian Lie $U$-algebra and establish connec
Autor:
V. N. Remeslennikov, E. Yu. Daniyarova
Publikováno v:
Algebra and Logic. 44:148-167
Bounded algebraic sets over a free Lie algebra F over a field k are classified in three equivalent languages: (1) in terms of algebraic sets; (2) in terms of radicals of algebraic sets; (3) in terms of coordinate algebras of algebraic sets.
Publikováno v:
Doklady Mathematics. 84:545-547
In this paper we introduce elements of algebraic geometry over an arbitrary algebraic structure. We prove Unification Theorems which gather the description of coordinate algebras by several ways.
Comment: 55 pages
Comment: 55 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63a5743a5b0945ae18d69a84f904d3d4