Some results on prime rings with multiplicative derivations

Basit Öğe Kaydı
dc.authoridSandhu, Gurninder Singh/0000-0001-8618-6325
dc.contributor.authorSandhu, Gurninder Singh
dc.contributor.authorCamci, Didem Karalarlioglu
dc.date.accessioned2025-01-27T20:10:31Z
dc.date.available2025-01-27T20:10:31Z
dc.date.issued2020
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractLet R be a prime ring with center Z(R) and an automorphism a. A mapping delta : R -> R is called multiplicative skew derivation if delta(xy) = delta(x)y + alpha(x)delta(y) for all x, y is an element of R and a mapping F : R -> R is said to be multiplicative (generalized)-skew derivation if there exists a unique multiplicative skew derivation delta such that F(xy) = F(x)y + alpha(x)delta(y) for all x, y is an element of R. In this paper, our intent is to examine the commutativity of R involving multiplicative (generalized)-skew derivations that satisfy the following conditions: (i) F(x(2)) + x delta(x) = delta(x(2)) + xF(x), (ii) F(x circle y) = delta(x circle y) +/- x circle y, (iii) F([x, y]) = delta([x, y])+/-[x, y], (iv) F(x(2)) = delta(x(2)), (v) F([x, y]) = +/- x(k) [x, delta(y)]x(m), (vi) F(x circle y) = +/- x(k)(x circle delta(y))x(m), (vii) F([x, y]) = +/- x(k) [delta(x), y]x(m), (viii) F(x circle y) = +/- x(delta(x) circle y)x(m) for all x, y is an element of R.
dc.identifier.doi10.3906/mat-2002-24
dc.identifier.endpage1411
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85089403397
dc.identifier.scopusqualityQ2
dc.identifier.startpage1401
dc.identifier.trdizinid354502
dc.identifier.urihttps://doi.org/10.3906/mat-2002-24
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/354502
dc.identifier.urihttps://hdl.handle.net/20.500.12428/20647
dc.identifier.volume44
dc.identifier.wosWOS:000548379100023
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherTubitak Scientific & Technological Research Council Turkey
dc.relation.ispartofTurkish Journal of Mathematics
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20250125
dc.subjectPrime ring
dc.subjectmultiplicative generalized derivation
dc.subjectmultiplicative (generalized)-skew derivation
dc.subjectmultiplicative left centralizer
dc.titleSome results on prime rings with multiplicative derivations
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
TR-Dizin İndeksli Yayınlar Koleksiyonu