Pentactions and action representability in the category of reduced groups with action

Datuashvili, Tamar; Şahan, Tunçar

Pentactions and action representability in the category of reduced groups with action

dc.contributor.author	Datuashvili, Tamar
dc.contributor.author	Şahan, Tunçar
dc.date.accessioned	2023-01-13T08:34:42Z
dc.date.available	2023-01-13T08:34:42Z
dc.date.issued	2023
dc.department	Sabire Yazıcı Fen Edebiyat Fakültesi
dc.description.abstract	A notion of pentaction of any object in the category rGr .{\mathbf{rGr}^{\bullet}} of reduced groups with action is introduced. The operations are defined in the set »e - - ac - (A) {\mathsf{Pentact}(A)} of pentactions of an object A of rGr.{\mathbf{rGr}^{\bullet}}. It is proved that if an object A is perfect with zero weak stabilizer in the sense defined in this paper, then »e-ac-(A) {\mathsf{Pentact}(A)} is an object of rGr. {\mathbf{rGr}^{\bullet}}, it has a derived action on A, the object A is action representable and »e - - ac -(A) {\mathsf{Pentact}(A)} represents all actions on A.
dc.identifier.doi	10.1515/gmj-2022-2205
dc.identifier.endpage	-	en_US
dc.identifier.issn	1072-947X
dc.identifier.issue	-	en_US
dc.identifier.scopusquality	Q2
dc.identifier.startpage	-	en_US
dc.identifier.uri	https:/dx.doi.org/10.1515/gmj-2022-2205
dc.identifier.uri	https://hdl.handle.net/20.500.12451/9911
dc.identifier.volume	-	en_US
dc.identifier.wos	WOS:000892350600001
dc.identifier.wosquality	Q3
dc.indekslendigikaynak	Web of Science
dc.indekslendigikaynak	Scopus
dc.language.iso	en
dc.publisher	De Gruyter Open Ltd
dc.relation.ispartof	Georgian Mathematical Journal
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Action Representability
dc.subject	Group with Action
dc.subject	Pentaction
dc.title	Pentactions and action representability in the category of reduced groups with action
dc.type	Article