Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Symmetric Generalized n-Derivations on Prime Ideals

Version 1 : Received: 11 August 2023 / Approved: 11 August 2023 / Online: 11 August 2023 (09:53:22 CEST)

How to cite: Alsuraiheed, T.; Ali, S.; Varshney, V.; Wijayanti, I.E. On Symmetric Generalized n-Derivations on Prime Ideals. Preprints 2023, 2023080928. https://doi.org/10.20944/preprints202308.0928.v1 Alsuraiheed, T.; Ali, S.; Varshney, V.; Wijayanti, I.E. On Symmetric Generalized n-Derivations on Prime Ideals. Preprints 2023, 2023080928. https://doi.org/10.20944/preprints202308.0928.v1

Abstract

Throughout this paper, we will establish a comprehensive theoretical foundation and rigorously develop the methodology to investigate the structure of quotient ring S/P under the influence of symmetric generalized n-derivations, where S represents an arbitrary ring, and P signifies a prime ideal of S satisfying certain algebraic identities acting on prime ideal P without relying on the assumption of primeness or semi-primeness of the ring.

Keywords

Prime ring; prime ideal; derivation; symmetric n-derivation; symmetric generalized n-derivation

Subject

Computer Science and Mathematics, Algebra and Number Theory

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