12 citations · 43 across the 12 of their papers we have counts for
12 papers
Partial Galois cohomology and related homomorphisms (expanded version)
M. Dokuchaev, A. Paques, H. Pinedo
For a partial Galois extension of commutative rings we give a seven terms sequence, which is an analogue of the Chase-Harrison-Rosenberg sequence.
The ideal structure of algebraic partial crossed products
M. Dokuchaev, R. Exel
Given a partial action of a discrete group on a Hausdorff, locally compact, totally disconnected topological space , we consider the correponding partial action of on th…
Partial actions and subshifts
M. Dokuchaev, R. Exel
Given a finite alphabet , and a not necessarily finite type subshift , we introduce a partial action of the free group on a certain compactification…
Globalization of Twisted partial Hopf actions
Marcelo M. S. Alves, Eliezer Batista, Michael Dokuchaev +1
In this work, we review some properties of twisted partial actions of Hopf algebras on unital algebras and give necessary and sufficient conditions for a twisted partial action to…
Partial actions and automata
M. Dokuchaev, B. Novikov, G. Zholtkevych
We use the notion of a partial action of a monoid to introduce a generalization of automata, which we call "a preautomaton". We study properties of preautomata and of languages rec…
Partial cohomology of groups
M. Dokuchaev, M. Khrypchenko
We develop a cohomology theory of groups based on partial actions and explore its relation with the partial Schur multiplier as well as with cohomology of inverse semigroups.