Partial actions and power sets.
type: Item
instance of: scholarly article
title: Partial actions and power sets.
zbMATH Open document ID: 1261.16038
DOI: 10.1155/2013/376915
author: João Lazzarin
author: Jesús Ãvila
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2013-02-21T00:00:00Z
review text: Summary: We consider a partial action \((X,\alpha)\) with enveloping action \((T,\beta)\). In this work we extend \(\alpha\) to a partial action on the ring \((P(X),\Delta,\cap)\) and find its enveloping action \((E,\beta)\). Finally, we introduce the concept of partial action of finite type to investigate the relationship between \((E,\beta)\) and \((P(T),\beta)\).
Mathematics Subject Classification ID: 16W22
Mathematics Subject Classification ID: 16S99
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 6137716
zbMATH Keywords: partial actions
zbMATH Keywords: enveloping actions
Wikidata QID: Q58988674
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/376915
OpenAlex ID: W2006426971
cites work: Partial actions of groups and actions of inverse semigroups
cites work: Enveloping actions and Takai duality for partial actions.
cites work: Associativity of crossed products by partial actions, enveloping actions and partial representations
cites work: Partial Actions and Partial Fixed Rings
cites work: Partial actions and partial skew group rings.
DBLP publication ID: journals/ijmmsc/AvilaL13
description: scientific article; zbMATH DE number 6137716