We study some properties of permuting tri-derivations on semiprime Γ-rings with a certain assumption. Let M be a 3-torsion free semiprime Γ-ring satisfying a certain assumption and let I be a non-zero ideal of M. Suppose that there exists a permuting tri-derivation D: M×M×M → M such that d is an automorphism commuting on I and also d is a trace of D. Then we prove that I is a nonzero commutative ideal. Various characterizations of M are obtained by means of tri-derivations
Let M be 2 and 3 torsion-free left sΓ-unital Γ-rings. Let D: M ×M ×M → M be a permuting tri-additive...
In this paper we introduce the notion of symmetric skew 3-derivations of prime or semiprime rings an...
By introducing the notions of left k-derivation and right k-derivation of a gamma ring, we determine...
Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be...
Dedicated to the memory of Mehmet Sapancı. Abstract. Let M be a 2-torsion free 3-prime left Γ-near-r...
WOS: 000238625200002Let R be a ring and S a nonempty subset of R. A mapping f : R --> R is called co...
The purpose of this note is to prove the following result. Suppose R is a 2-torsion free semiprime *...
Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a deri...
Abstract. Let M be a Γ − ring, U an ideal of M, charM = 2, 3 and 0 = d: M → M be a left derivation...
In this paper, we introduce a permuting tri- ()τσ,-derivation and permuting tri-generalized derivati...
We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(...
Let α, β be automorphisms of a semiprime ∗-ring R. We show that: (i) If F: R → R is an additive mapp...
Abstract. In this note, we introduce a symmetric generalized 3-derivation in near-rings and investig...
Abstract. We know that every Jordan generalized k-derivation of a Γ-ring is not a generalized k-deri...
We extend some well known commutativity results concerning a nonzero square closed ∗-Lie ideal and g...
Let M be 2 and 3 torsion-free left sΓ-unital Γ-rings. Let D: M ×M ×M → M be a permuting tri-additive...
In this paper we introduce the notion of symmetric skew 3-derivations of prime or semiprime rings an...
By introducing the notions of left k-derivation and right k-derivation of a gamma ring, we determine...
Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be...
Dedicated to the memory of Mehmet Sapancı. Abstract. Let M be a 2-torsion free 3-prime left Γ-near-r...
WOS: 000238625200002Let R be a ring and S a nonempty subset of R. A mapping f : R --> R is called co...
The purpose of this note is to prove the following result. Suppose R is a 2-torsion free semiprime *...
Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a deri...
Abstract. Let M be a Γ − ring, U an ideal of M, charM = 2, 3 and 0 = d: M → M be a left derivation...
In this paper, we introduce a permuting tri- ()τσ,-derivation and permuting tri-generalized derivati...
We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(...
Let α, β be automorphisms of a semiprime ∗-ring R. We show that: (i) If F: R → R is an additive mapp...
Abstract. In this note, we introduce a symmetric generalized 3-derivation in near-rings and investig...
Abstract. We know that every Jordan generalized k-derivation of a Γ-ring is not a generalized k-deri...
We extend some well known commutativity results concerning a nonzero square closed ∗-Lie ideal and g...
Let M be 2 and 3 torsion-free left sΓ-unital Γ-rings. Let D: M ×M ×M → M be a permuting tri-additive...
In this paper we introduce the notion of symmetric skew 3-derivations of prime or semiprime rings an...
By introducing the notions of left k-derivation and right k-derivation of a gamma ring, we determine...
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