Let n ⩾ 1 be a fixed integer and let R be an (n + 1)!-torsion free ∗-ring with identity element e. If F, d:R → R are two additive mappings satisfying F(xn+1) = F(x)(x∗)n + xd(x)(x∗)n−1 + x2d(x)(x∗)n−2+ ⋯ +xnd(x) for all x ∈ R, then d is a Jordan ∗-derivation and F is a generalized Jordan ∗-derivation on R
AbstractLet R be a 2-torsion free prime ring containing a non-trivial idempotent and R′ be an arbitr...
We prove in this note the following result. Let ▫$n>1$▫ be an integer and let ▫$R$▫ be an ▫$n!$▫-tor...
We prove in this note the following result. Let ▫$n>1$▫ be an integer and let ▫$R$▫ be an ▫$n!$▫-tor...
AbstractLet n⩾1 be a fixed integer and let R be an (n+1)!-torsion free ∗-ring with identity element ...
Let R be an associative ring with identity element, F: R → R, D: R → R and T: R → R all additive map...
AbstractLet n⩾1 be a fixed integer and let R be an (n+1)!-torsion free ∗-ring with identity element ...
Let m and n be positive integers with m + n = 0, and let R be an (m + n + 2)!-torsion free semiprim...
Let m and n be positive integers with m + n = 0, and let R be an (m + n + 2)!-torsion free semiprim...
We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free se...
Let α, β be automorphisms of a semiprime ∗-ring R. We show that: (i) If F: R → R is an additive mapp...
Let ▫$m$▫ and ▫$n$▫ be positive integers with ▫$m+n?0$▫, and let ▫$R$▫ be an ▫$(m+n+2)!$▫-torsion fr...
Let R be a 6-torsion free ring with involution , θ is a mapping of R and let (d,g) : R→R be an ad...
Let m and n be positive integers with m+n≠0, and let R be an (m+n+2)!-torsion free semiprime ring wi...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
AbstractLet R be a 2-torsion free prime ring containing a non-trivial idempotent and R′ be an arbitr...
We prove in this note the following result. Let ▫$n>1$▫ be an integer and let ▫$R$▫ be an ▫$n!$▫-tor...
We prove in this note the following result. Let ▫$n>1$▫ be an integer and let ▫$R$▫ be an ▫$n!$▫-tor...
AbstractLet n⩾1 be a fixed integer and let R be an (n+1)!-torsion free ∗-ring with identity element ...
Let R be an associative ring with identity element, F: R → R, D: R → R and T: R → R all additive map...
AbstractLet n⩾1 be a fixed integer and let R be an (n+1)!-torsion free ∗-ring with identity element ...
Let m and n be positive integers with m + n = 0, and let R be an (m + n + 2)!-torsion free semiprim...
Let m and n be positive integers with m + n = 0, and let R be an (m + n + 2)!-torsion free semiprim...
We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free se...
Let α, β be automorphisms of a semiprime ∗-ring R. We show that: (i) If F: R → R is an additive mapp...
Let ▫$m$▫ and ▫$n$▫ be positive integers with ▫$m+n?0$▫, and let ▫$R$▫ be an ▫$(m+n+2)!$▫-torsion fr...
Let R be a 6-torsion free ring with involution , θ is a mapping of R and let (d,g) : R→R be an ad...
Let m and n be positive integers with m+n≠0, and let R be an (m+n+2)!-torsion free semiprime ring wi...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
AbstractLet R be a 2-torsion free prime ring containing a non-trivial idempotent and R′ be an arbitr...
We prove in this note the following result. Let ▫$n>1$▫ be an integer and let ▫$R$▫ be an ▫$n!$▫-tor...
We prove in this note the following result. Let ▫$n>1$▫ be an integer and let ▫$R$▫ be an ▫$n!$▫-tor...
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