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Journal : Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi

(σ,τ)-derivasi pada Ring Grup Waluyo, Ridho; Faisol, Ahmad; Fitriani, Fitriani
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.31564

Abstract

Derivations play a fundamental role in ring theory and have been extensively studied and generalized, including to (σ, τ)-derivations, which involve endomorphisms σ and τ. While many studies have focused on (σ, τ)-derivations in prime, semiprime, or commutative rings, explicit constructions and investigations of such derivations in group rings remain limited. This paper constructs several concrete examples of (σ, τ)-derivations on group rings and explores their algebraic properties. The approach provides systematic illustrations and characterizations of derivations in noncommutative ring structures based on groups, thereby contributing to the development of derivation theory in group ring contexts.