Camci, Didem K.Aydin, Neset2025-01-272025-01-2720171303-5991https://doi.org/10.1501/Commual_0000000784https://search.trdizin.gov.tr/tr/yayin/detay/216723https://hdl.handle.net/20.500.12428/23289In this paper, we study commutativity of a prime or semiprime ring using a map F : R -> R, multiplicative (generalized) -derivation and a map H : R -> R, multiplicative left centralizer, under the following conditions: For all x,y is an element of R, i) F(xy) +/- H(xy) = 0, ii) F(xy) +/- H(yx) = 0, iii) F(x)F(y) +/- H(xy) = 0, iv) F(xy) +/- H(xy) is an element of Z, v) F(xy) +/- H(yx) is an element of Z, vi) F(x)F(y) +/- H(xy) is an element of Z.eninfo:eu-repo/semantics/closedAccessPrime ringsemiprime ringderivationmultiplicative derivationgeneralized derivationmultiplicative (generalized)-derivationArticle66115316410.1501/Commual_0000000784N/AWOS:000407115700015216723