Yazar "Sandhu, Gurninder Singh" seçeneğine göre listele

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  • Küçük Resim
    Öğe
    IDENTITIES WITH MULTIPLICATIVE GENERALIZED (α,α)-DERIVATIONS OF SEMIPRIME RINGS
    (Univ Kragujevac, Fac Science, 2024) Sandhu, Gurninder Singh; Ayran, Ayşe; Aydın, Neşet
    Let R be a semiprime ring and α be an automorphism of R. A mapping F : R → R (not necessarily additive) is called multiplicative generalized (α,α)derivation if there exists a unique (α,α)-derivation d of R such that F(xy) = F(x)α(y) + α(x)d(y) for all x,y ∈ R. In the present paper, we intend to study several algebraic identities involving multiplicative generalized (α,α)-derivations on appropriate subsets of semiprime rings and collect the information about the commutative structure of these rings.
  • [ X ]
    Öğe
    Some results on prime rings with multiplicative derivations
    (Tubitak Scientific & Technological Research Council Turkey, 2020) Sandhu, Gurninder Singh; Camci, Didem Karalarlioglu
    Let 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.