24 citations · 79 across the 9 of their papers we have counts for
10 papers
On the Zariski topology of -groups
Ruvim Lipyanski
A number of geometric properties of -groups from a given variety of -groups can be characterized using the notions of domain and equational domain. An -group of a vari…
The classification problem for graphs and lattices is wild
Ruvim Lipyanski, Natalia Vanetik
We prove that the classification problem for graphs and several types of algebraic lattices (distributive, congruence and modular) up to isomorphism contains the classification pro…
Automorphisms of the endomorphism semigroup of a free commutative algebra
A. Belov-Kanel, R. Lipyanski
We describe the automorphism group of the endomorphism semigroup $\End(K[x_1,...,x_n])$ of ring of polynomials over an {\it arbitrary} field . A similar result…
On Borel complexity of the isomorphism problems for graph-related classes of Lie algebras and finite p-groups
Ruvim Lipyanski, Natalia Vanetik
We reduce the isomorphism problem for undirected graphs without loops to the isomorphism problems for a class of finite dimensional -step nilpotent Lie algebras over a field and…
Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild
Genrich Belitskii, Ruvim Lipyanski, Vladimir V. Sergeichuk
We prove that the problems of classifying triples of symmetric or skew-symmetric matrices up to congruence, local commutative associative algebras with zero cube radical and square…
The problems of classifying pairs of forms and local algebras with zero cube radical are wild
Genrich Belitskii, Vitalij M. Bondarenko, Ruvim Lipyanski +2
We prove that over an algebraically closed field of characteristic not two the problems of classifying pairs of sesquilinear forms in which the second is Hermitian, pairs of biline…