On the Structural Behavior of Multiplicative (Generalized)-Derivations via d-Algebra Structures

Hicham Saber, Zakia Z. Al-Amery, Radwan M. Al-Omary, Khaled Aldwoah and Ria Egami

Journal of Mathematics, 2026, vol. 2026, 1-10

Abstract: In the context of a d-algebra structure ℧,∗,0, this paper aims to introduce the concept of a multiplicative (generalized)-derivation G associated with a self-map Ξ (not necessarily a derivation). Based on this concept, the operations ∧ and composition ° will be defined, and several interesting related properties will be investigated, such as regularity, d-ideal, kernel, d-subalgebra, fixed set, and G-invariant. Moreover, we will demonstrate that by strengthening the condition of a d-algebra ℧ to include the property ℘∗℘∗ϖ=ϖ, the collection of all multiplicative (generalized)-derivations forms a semigroup on ℧. Furthermore, several relevant consequences and examples will be explored.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2110477

DOI: 10.1155/jom/2110477

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