Homoderivations in the Environment of d-Algebras: Characterization, Structural Properties, and Semigroup Structure

Hicham Saber, Radwan M. Al-Omary, Zakia Z. Al-Amery, Muntasir Suhail, Amel Touati and Khaled Aldwoah

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

Abstract: Let A,∗,0 be a d-algebra. The main focus of this article is to introduce the concept of a homoderivation as a self-map of A that merges structural aspects of homomorphisms and derivations and then characterizes its relationship with a standard derivation of A. In addition, we will discuss several interesting properties related to regular homoderivations, fixed sets, kernels, and others. Finally, we will show that the set of all homoderivations on a d-algebra A with the composition operation “°†as well as the operation “∧†forms a semigroup. Throughout our discussions, we will provide numerous illustrative examples as well as counterexamples to justify the hypotheses stated in our theorems.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/7906171.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/7906171.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7906171

DOI: 10.1155/jom/7906171

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().