collaborators

3 papers

math.RA2026

Globalization of Partial Group Actions on Not Necessarily Associative Algebras and Covariant Representations

Mikhailo Dokuchaev, Emmanuel Jerez, José L. Vilca-Rodríguez

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…

math.GN2026

On Γ-embeddings and partial actions of function spaces

Luis A. Martínez-Sánchez, Héctor Pinedo, José L. Vilca-Rodríguez

This paper deals with the extension of partial actions of topological groups on topological spaces. Within this framework, we introduce a class of topological embeddings defined vi…

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…