Work

Weak $ (p, q) $-Jordan centralizer and derivation on rings and algebras

Year: 2025

Type: article

Abstract: In the present paper, the authors discuss two new concepts that will be known as a weak $ (p, q) $-Jordan centralizer and a weak $ (p, q) $-Jordan derivation on an arbitrary ring $ R $ and they prove that every weak $ (p, q) $-Jordan derivation is a derivation on any prime ring $ R $. Furthermore, every weak $ (p, q) $-Jordan centralizer is a centralizer on a semiprime ring $ R $. Later, they discuss the continuity of weak $ (p, q) $-Jordan centralizer on a semisimple Banach algebra and prove that every weak $ (p, q) $ -Jordan centralizer on a semisimple Banach algebra is a linear continuous operator. Moreover, these results are validated with actual examples.

Source: AIMS Mathematics

DOI: 10.3934/math.2025383

Authors: Faiza Shujat, Faarie Alharbi, Abu Zaid Ansari

Institutions: Taibah University, Islamic University of Madinah

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: Islamic University of Madinah