12 citations · 43 across the 12 of their papers we have counts for
6 papers · 1 filter
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.
Twisted partial actions of Hopf algebras
Marcelo Muniz S. Alves, Eliezer Batista, Michael Dokuchaev +1
In this work, the notion of a twisted partial Hopf action is introduced as a unified approach for twisted partial group actions, partial Hopf actions and twisted actions of Hopf al…
Globalization of twisted partial actions
M. Dokuchaev, R. Exel, J. J. Simón
Let A be a unital ring which is a product of possibly infinitely many indecomposable rings. We establish criteria for the existence of a globalization for a given twisted partial a…
Crossed products by twisted partial actions and graded algebras
M. Dokuchaev, R. Exel, J. J. Simon
For a twisted partial action Θof a group G on an (associative non-necessarily unital) algebra A over a commutative unital ring k, the crossed product A X_ΘG is proved to be associa…
Associativity of crossed products by partial actions, enveloping actions and partial representations
M. Dokuchaev, R. Exel
Given a partial action αof a group G on an associative algebra A we consider the crossed product A x_αG. Using the algebras of multipliers of ideals of A we prove that A x_αG is as…
Group algebras whose involutory units commute
Victor Bovdi, Michael Dokuchaev
Let K be a field of characteristic 2 and G a nonabelian locally finite 2-group. Let V(KG) be the group of units with augmentation 1 in the group algebra KG. An explicit list of gro…