ON DERIVATIONS SATISFYING CERTAIN IDENTITIES ON RINGS AND ALGEBRAS

Basit Öğe Kaydı
dc.authoridSandhu, Gurninder Singh/0000-0001-8618-6325
dc.contributor.authorSandhu, Gurninder S.
dc.contributor.authorKumar, Deepak
dc.contributor.authorCamci, Didem K.
dc.contributor.authorAydin, Neset
dc.date.accessioned2025-01-27T20:45:59Z
dc.date.available2025-01-27T20:45:59Z
dc.date.issued2019
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractThe present paper deals with the commutativity of an associative ring R and a unital Banach Algebra A via derivations. Precisely, the study of multiplicative (generalized)-derivations F and G of semiprime (prime) ring R satisfying the identities G(xy) +/- [F(x), y] +/- [x, y] is an element of Z(R) and G(xy) +/- [x , F(y)] +/- [x, y] is an element of Z(R) has been carried out. Moreover, we prove that a unital prime Banach algebra A admitting continuous linear generalized derivations F and G is commutative if for any integer n > 1 either G((xy)(n)) + [F(x(n)), y(n) ] + [x(n),y(n)] is an element of Z(A) or G((xy(n)) - [F(x(n)), y(n)] - [x(n) , y(n)] is an element of Z(A).
dc.identifier.doi10.22190/FUMI1901085S
dc.identifier.endpage99
dc.identifier.issn0352-9665
dc.identifier.issn2406-047X
dc.identifier.issue1
dc.identifier.startpage85
dc.identifier.urihttps://doi.org/10.22190/FUMI1901085S
dc.identifier.urihttps://hdl.handle.net/20.500.12428/24778
dc.identifier.volume34
dc.identifier.wosWOS:000461026100008
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherUniv Nis
dc.relation.ispartofFacta Universitatis-Series Mathematics and Informatics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectBanach algebra
dc.subjectAssociative ring
dc.subjectGeneralized derivations
dc.titleON DERIVATIONS SATISFYING CERTAIN IDENTITIES ON RINGS AND ALGEBRAS
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu