7 citations · 13 across the 7 of their papers we have counts for
4 papers · 1 filter
On automorphisms of categories
Grigori Zhitomirski
Let V be a variety of algebras of some type. An interest to describing automorphisms of the category C of finitely generated free V-algebras was inspired in connection with develop…
On categorical approach to derived preference relations in some decision making problems
Victor V. Rozen, Grigori Zhitomirski
A structure called a decision making problem is considered. The set of outcomes (consequences) is partially ordered according to the decision maker's preferences. The problem is ho…
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…
A generalization and a new proof of Plotkin's reduction theorem
Grigori Zhitomirski
It is known that Plotkin's reduction theorem is very important for his theory of universal algebraic geometry [arXiv:math. GM/0210187], [arXiv:math. GM/0210194]. It turns out that…