Orthogonal Generalized \((\sigma, \tau)\)-Derivations on Semiprime \(\Gamma\)-Semirings

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DOI:

https://doi.org/10.26713/cma.v16i1.2973

Keywords:

\((\sigma, \tau)\)-Derivation, Generalized \((\sigma,\tau)\)-Derivation, Orthogonal \((\sigma, \tau)\)-Derivation, \(\Gamma\)-Semiring, Semiprime \(\Gamma\)-Semiring

Abstract

In this study, we regard \(M\) as a semiprime \(\Gamma\)-semiring and introduce the notion of orthogonal \((\sigma,\tau)\)-derivations within such structures. We explore various characterizations of semiprime \(\Gamma\)-semirings and determine the conditions under which two \((\sigma,\tau)\)-derivations are orthogonal.

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Published

01-07-2025
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How to Cite

Murty, V. S. V. K., Reddy, C. J. S., & Haseena, S. (2025). Orthogonal Generalized \((\sigma, \tau)\)-Derivations on Semiprime \(\Gamma\)-Semirings. Communications in Mathematics and Applications, 16(1), 265–275. https://doi.org/10.26713/cma.v16i1.2973

Issue

Vol. 16 No. 1 (2025)

Section

Research Article

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