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math.RA2025
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 th…
math.RA2025
Inverse semialgebras and partial actions of Lie algebras
Mikhailo Dokuchaev, Farangis Johari, José L. Vilca-Rodríguez
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…
math.OA2025
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…