Mikhailo Dokuchaev

collaborators

3 papers

math.RA2023

The twisted partial group algebra and (co)homology of partial crossed products

Mikhailo Dokuchaev, Emmanuel Jerez

Given a group $G$ and a partial factor set $σ$ of $G,$ we introduce the twisted partial group algebra $κ_{p a r}^{σ} G,$ which governs the partial projective $σ$ -representations of $G$ …

math.RA2023

(Co)Homology of Partial Smash Products

Mikhailo Dokuchaev, Emmanuel Jerez

Given a cocommutative Hopf algebra $H$ over a commutative ring $K$ and a symmetric partial action of $H$ on a $K$ -algebra $A,$ we obtain a first quadrant Grothe…

math.RA2010

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…