24 citations · 79 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
Automorphisms of the semigroup of endomorphisms of free associative algebras
A. Kanel-Belov, A. Berzins, R. Lipyanski
Let be a free associative algebra in freely generated over by a set , be the semigroup of endomorphisms of $…
Automorphisms of the semigroup of endomorphisms of free algebras of homogeneous varieties
Ruvim Lipyanski
We consider homogeneous varieties of linear algebras over an associative-commutative ring K with 1, i.e., the varieties in which free algebras are graded. Let F be a free algebra o…
Automorphisms of Categories of Free Modules, Free Semimodules, and Free Lie Modules
Yefim Katsov, Ruvim Lipyanski, Boris Plotkin
In algebraic geometry over a variety of universal algebras , the group of automorphisms of the category of finitely generated free algebras of is of gre…
Automorphisms of categories of free modules and free Lie algebras
R. Lipyanski, B. Plotkin
We prove that the group of automorphisms of the category of free modules over Noterian rings is semi-inner and present also a short proof of a similar result for the variery of Lie…