Sandhu, Gurninder SinghCamci, Didem Karalarlioglu2025-01-272025-01-2720201300-00981303-6149https://doi.org/10.3906/mat-2002-24https://search.trdizin.gov.tr/tr/yayin/detay/354502https://hdl.handle.net/20.500.12428/20647Let 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.eninfo:eu-repo/semantics/openAccessPrime ringmultiplicative generalized derivationmultiplicative (generalized)-skew derivationmultiplicative left centralizerArticle4441401141110.3906/mat-2002-24Q3WOS:0005483791000232-s2.0-85089403397354502Q2