International Journal of Nonlinear Analysis and Applications

Jordan generalized derivation on generalized module extension Banach algebras

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Mathematical and Computer Science, Kharazmi University, 50 Taleghani Avenue, 15618 Tehran, Iran

2 College of Farabi, University of Tehran, Iran

Abstract

In this paper, we study the problem of describing the
form of Jordan generalized $d$-derivations on generalized module extension Banach algebras. As an application, we characterize the form of Jordan generalized $d$-derivations on $\theta$-Lau product of Banach algebras. Finally, we show that under some sufficient and necessary conditions, every Jordan generalized $d$-derivation on a generalized module extension Banach algebra is the sum of a generalized $d$-derivation and an antiderivation.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 13 February 2026
  • Receive Date: 20 October 2024
  • Accept Date: 16 January 2025