ORTHOGONAL GENERALIZED (σ, τ)-DERIVATIONS ON AN IDEAL OF A SEMIPRIME Γ-RING
Let M be a G-ring and s, t be automorphisms of M. An additive mapping is termed -derivation if holds for all and [10]. A mapping is deemed a generalized -derivation if there exists -derivation such that the expression remains valid for all and [10]. This paper builds upon the findings laid out in [9] regarding the orthogonality of -derivations and generalized -derivations within a nonzero ideal of a semiprime ring, extending them to semiprime G-rings.
semiprime Γ-ring, generalized (σ, τ)-derivation, orthogonal (σ, τ)-derivations, orthogonal generalized (σ, τ)-derivations
Received: June 29, 2024; Revised: July 21, 2024; Accepted: August 10, 2024; Published: September 7, 2024
How to cite this article: V. S. V. Krishna Murty, C. Jaya Subba Reddy and Sk. Haseena, Orthogonal generalized -derivations on an ideal of a semiprime G-ring, JP Journal of Algebra, Number Theory and Applications 63(6) (2024), 481-503. https://doi.org/10.17654/0972555524029
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