13 citations · 30 across the 5 of their papers we have counts for
5 papers
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…
On automorphisms of categories of free algebras of some varieties
Boris Plotkin, Grigori Zhitomirski
Given a variety of universal algebras. A method is suggested for describing automorphisms of a category of free algebras of this variety. Applying this general method all automorph…
Action Type Geometrical Equivalence of Representations of Groups
B. Plotkin, A. Tsurkov
For every variety of algebras and every algebras in these variety we can consider an algebraic geometry. Algebras may be many sorted (not necessarily one sorted) algebras. A set of…
On automorphisms of categories of universal algebras
Boris Plotkin, Grigori Zhitomirski
A new approach is suggested to characterize algebraically automorphisms of the category of free algebras of a given variety. It gives in many cases an answer to the problem set by…