On the Structure of Near-Rings via P-Semiderivations

Ali Yahya Hummdi, Inzamam Ul Huque, Hafedh Alnoghashi and Radwan M. Al-Omary

Journal of Mathematics, 2026, vol. 2026, 1-9

Abstract: This paper introduces the concept of a P-semiderivation on a near-ring N, which serves as a generalization of the classical notion of a semiderivation. We investigate the fundamental properties of P-semiderivations in relation to a nonempty subset P⊆N. The study primarily focuses on the structure of 3-prime near-rings that admit such mappings. Key results establish the conditions under which a P-semiderivation induces a classical semiderivation on the quotient near-ring N/P. Furthermore, we explore the commutativity of the quotient near-ring N/P, demonstrating that if the image of a nontrivial P-semiderivation is contained within the P-center of N, then N/P is either a commutative ring or has characteristic 2. Several examples are provided to illustrate the distinction between P-semiderivations and standard semiderivations.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/6284034.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/6284034.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:6284034

DOI: 10.1155/jom/6284034

Access Statistics for this article

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