Effects of Generalized Semiderivations on Algebraic Identities Involving Prime Ideals

Kholood Alnefaie

Journal of Mathematics, 2025, vol. 2025, 1-8

Abstract: In this article, instead of a generalized derivation, we will use the concept of a generalized semiderivation ∇ that satisfies various identities involving a prime ideal ß of an optional ring Λ to describe the behavior of a quotient ring Λ/ß. We will use this concept to generalize some well-known results that studied the behavior of a ring Λ via a generalized derivation. Additionally, we will list several consequences as well as some special cases as corollaries of our main theorems.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1318791

DOI: 10.1155/jom/1318791

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