Generalized derivations of prime rings on multilinear polynomials with annihilator conditions

Argaç, Nurcan; Demir, Çağrı

doi:10.3906/mat-1106-46

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2015

2024

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Cited by 2 publications

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“…J.C. Chang [11] introduced the notion of a generalized (𝛼, 𝛽)derivation of a ring R and investigated some properties of such derivations. Argac et al [17] introduced the notion of orthogonality for a pair (D, d), (G, g) of generalized derivations on semiprime rings and gave several necessary and sufficient conditions for (D, d) and (G, g) to be orthogonal. O.Golbasi and N. Aydin [18] extended the results of Argac to orthogonal generalized (𝜎, 𝜏)-derivations.…”

Section: Introductionmentioning

confidence: 99%

Orthogonal Generalized Symmetric Reverse Bi-(????, τ)-Derivations of Semi Prime Ring

V.S.V. Krishna Murty

2024

cana

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Let R be a semi prime ring. Suppose that , are automorphisms on R. A symmetric bi-additive mapping is said to be a generalized symmetric reverse bi-(????, )-derivation on R if there exists a symmetric reverse bi-(????, )-derivation D on R such that ) = + (v)D( holds . Let ] and ] be two generalized symmetric reverse bi-(????, )-derivations of R with associated reverse bi- -derivations . In this paper, we establish some equivalent conditions for the orthogonality between two symmetric generalized reverse bi-(????, )-derivations of semiprime ring R.

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Section: Introductionmentioning

confidence: 99%