Article
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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
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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