5 papers
Globalization of Partial Group Actions on Not Necessarily Associative Algebras and Covariant Representations
Mikhailo Dokuchaev, Emmanuel Jerez, José L. Vilca-RodrÃguez
We extend the concept of a partial group action to non-associative algebras in a variety \(\mathcal{V}(I)\), solve the globalization problem within \(\mathcal{V}(I)\) and examine i…
Graded Equivalence for Graded Idempotent Rings
Mikhailo Dokuchaev, Juan Jacobo Simón
In this paper, we extend the study of graded equivalences to the case of general idempotent graded rings. We prove that the existence of a graded equivalence between two categories…
Homology and cohomology of crossed products by inverse monoid actions and Steinberg algebras
Mikhailo Dokuchaev, Mykola Khrypchenko, Juan Jacobo Simón
Given a unital action of an inverse monoid on an algebra over a filed we produce (co)homology spectral sequences which converge to the Hochschild (co)homology of t…
Inverse semialgebras and partial actions of Lie algebras
Mikhailo Dokuchaev, Farangis Johari, José L. Vilca-RodrÃguez
We introduce the concept of a non-associative (i.e. non-necessarily associtive) inverse semialgebra over a field, the Lie version of which is inspired by the set of all partially d…
Twisted Steinberg algebras, regular inclusions and induction
M. Dokuchaev, R. Exel, H. Pinedo
Given a field and an ample (not necessarily Hausdorff) groupoid , we define the concept of a line bundle over inspired by the well known concept from the theory of C*-al…