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 …

Random metric spaces and universality

AM Vershik - Russian Mathematical Surveys, 2004 - iopscience.iop.org
The notion of random metric space is defined, and it is proved that such a space is isometric
to the Urysohn universal metric space with probability one. The main technique is the study …

Partial actions: a survey

M Dokuchaev - Contemp. Math, 2011 - books.google.com
In the theory of C∗-algebras a concept of a partial action was introduced as an efficient tool
of their study, permitting to characterize various important classes of C∗-algebras as …

[HTML][HTML] Partial monoid actions and a class of restriction semigroups

G Kudryavtseva - Journal of Algebra, 2015 - Elsevier
We study classes of proper restriction semigroups determined by properties of partial actions
underlying them. These properties include strongness, antistrongness, being defined by a …

[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 …

[HTML][HTML] Geometric presentations for Thompson's groups

P Dehornoy - Journal of Pure and Applied Algebra, 2005 - Elsevier
Starting from the observation that Thompson's groups F and V are the geometry groups
respectively of associativity, and of associativity together with commutativity, we deduce new …

Partial actions of inverse and weakly left E-ample semigroups

V Gould, C Hollings - Journal of the australian mathematical society, 2009 - cambridge.org
We introduce partial actions of weakly left E-ample semigroups, thus extending both the
notion of partial actions of inverse semigroups and that of partial actions of monoids. Weakly …

Partial category actions on sets and topological spaces

P Nystedt - Communications in Algebra, 2018 - Taylor & Francis
We introduce (continuous) partial category actions on sets (topological spaces) and show
that each such action admits a universal globalization. Thereby, we obtain a simultaneous …

Partial actions of monoids

C Hollings - Semigroup Forum, 2007 - Springer
We investigate partial monoid actions, in the sense of Megrelishvili and Schroder [12]. These
are equivalent to a class of premorphisms, which we call strong premorphisms. We describe …

Geometric partial comodules over flat coalgebras in Abelian categories are globalizable

P Saracco, J Vercruysse - Journal of Pure and Applied Algebra, 2024 - Elsevier
The aim of this paper is to prove the statement in the title. As a by-product, we obtain new
globalization results in cases never considered before, such as partial corepresentations of …