32 citations · 50 across the 4 of their papers we have counts for
5 papers
Algebraic geometry over algebraic structures III: Equationally Noetherian property and compactness
Evelina Daniyarova, Alexei Myasnikov, Vladimir Remeslennikov
In this paper we discuss some special generalizations of equationally Noetherian property which naturally arise in the universal algebraic geometry. We introduce weakly equationall…
Algebraic geometry over algebraic structures II: Foundations
Evelina Daniyarova, Alexei Myasnikov, Vladimir Remeslennikov
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 b…
Semidomains and Metabelian Product of Metabelian Lie Algebras
E. Daniyarova, I. Kazachkov, V. Remeslennikov
This paper is the third in a series of papers, the aim of which is to construct algebraic geometry over metabelian Lie algebras.
Algebraic Geometry over Free Metabelian Lie Algebra II: Finite Field Case
E. Daniyarova, I. Kazachkov, V. Remeslennikov
This paper is the second in a series of three, the aim of which is to construct algebraic geometry over a free metabelian Lie algebra . For the universal closure of free metabel…
Algebraic Geometry over Free Metabelian Lie Algebra I: U-Algebras and Universal Classes
E. Daniyarova, I. Kazachkov, V. Remeslennikov
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 . In the current paper we int…