Article ID: MTJPAM-D-23-00010

Title: Some results on prime rings with skew symmetric Jordan bi-derivations


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-23-00010; Volume 5 / Issue 2 / Year 2023, Pages 32-38

Document Type: Research Paper

Author(s): Zekiye Çiloğlu Şahin a , Ayşe Kılıç b

aDepartment of Mathematics, Faculty of Arts and Sciences, Suleyman Demirel University, Isparta, Turkey

bDepartment of Mathematics, Faculty of Arts and Sciences, Suleyman Demirel University, Isparta, Turkey

Received: 1 June 2023, Accepted: 24 November 2023, Published: 15 December 2023

Corresponding Author: Zekiye Çiloğlu Şahin (Email address: zekiyeciloglu@sdu.edu.tr)

Full Text: PDF

Abstract

A symmetric bi-additive mapping F, on a prime ring R is called skew symmetric Jordan bi-derivation (SSJBD) if the following equality (associated with the automorphism of α of R):

F(x2, z)=α(x)F(x, z)+F(x, z)x

is satisfied. The paper aims to investigate the properties of SSJBD constructed by a generalization of symmetric Jordan bi-derivations on prime rings.

Keywords: Prime ring, derivation, bi-additive mapping

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