7 citations · 13 across the 7 of their papers we have counts for
7 papers
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 logically-geometric types of algebras
Grigori Zhitomirski
The connection between classical model theoretical types (MT-types) and logically-geometrical types (LG-types) introduced by B. Plotkin is considered. It is proved that MT-types of…
Automorphisms of the semigroup of all endomorphisms of free algebras
Grigori Zhitomirski
Last years a number of papers were devoted to describing automorphisms of semigroups of endomorphisms of free finitely generated universal algebras of some varieties: groups, semig…
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…
Some remarks on autoequivalences of categories
Grigori Zhitomirski
Prof. Boris I. Plotkin [arXiv:math.GM/0210194, arXiv:math.GM/0204245] drew attention to the question when an equivalence between two categories is isomorphic as a functor to an iso…