Recent developments around partial actions

M Dokuchaev - São Paulo Journal of Mathematical Sciences, 2019 - Springer
We give an overview of publications on partial actions and related concepts, paying main
attention to some recent developments on diverse aspects of the theory, such as partial …

An Ehresmann-Schein-Nambooripad type theorem for DRC-semigroups

S Wang - Semigroup Forum, 2022 - Springer
The aim of this paper is to study DRC-semigroups by “categorial approach” and give an
Ehresmann–Schein–Nambooripad type theorem (ESN type theorem for short) for this class …

[HTML][HTML] Artinian and noetherian partial skew groupoid rings

P Nystedt, J Öinert, H Pinedo - Journal of Algebra, 2018 - Elsevier
Let α={α g: R g− 1→ R g} g∈ mor (G) be a partial action of a groupoid G on a (not
necessarily associative) ring R and let S= R⋆ α G be the associated partial skew groupoid …

Two-sided expansions of monoids

G Kudryavtseva - International Journal of Algebra and Computation, 2019 - World Scientific
We initiate the study of expansions of monoids in the class of two-sided restriction monoids
and show that generalizations of the Birget–Rhodes prefix group expansion, despite the …

An Ehresmann–Schein–Nambooripad theorem for locally Ehresmann P-Ehresmann semigroups

S Wang - Periodica Mathematica Hungarica, 2020 - Springer
Lawson has obtained an Ehresmann–Schein–Nambooripad theorem (ESN theorem for
short) for Ehresmann semigroups which states that the category of Ehresmann semigroups …

[HTML][HTML] Ehresmann monoids

MJJ Branco, GMS Gomes, V Gould - Journal of Algebra, 2015 - Elsevier
Ehresmann monoids form a variety of bi-unary monoids, that is, monoids equipped with two
basic unary operations, the images of which coincide and form a semilattice of projections …

Partial Galois cohomology and related homomorphisms

M Dokuchaev, A Paques… - The Quarterly Journal of …, 2019 - academic.oup.com
oup_qmathj_hay062 1..30 ++ Page 1 PARTIAL GALOIS COHOMOLOGY AND RELATED
HOMOMORPHISMS by M. DOKUCHAEV † (Instituto de Matemática e Estatística, Universidade …

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

M Dokuchaev, E Jerez - Bulletin of the Brazilian Mathematical Society …, 2024 - Springer
Given a group G and a partial factor set σ of G, we introduce the twisted partial group
algebra κ par σ G, which governs the partial projective σ-representations of G into algebras …

An Ehresmann–Schein–Nambooripad-Type Theorem for a Class of P-Restriction Semigroups

S Wang - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
As generalizations of inverse semigroups, restriction semigroups and regular*∗-semigroups
are investigated by many authors extensively in the literature. In particular, Lawson and …

[HTML][HTML] Almost perfect restriction semigroups

PR Jones - Journal of Algebra, 2016 - Elsevier
We call a restriction semigroup almost perfect if it is proper and the least congruence that
identifies all its projections is perfect. We show that any such semigroup is isomorphic to a …