The Stability of Generalized Jordan Derivations Associated with Hochschild 2-Cocycles of Triangular Algebras

Fuzzy Optimization and Modeling Journal

مقاله 6، دوره 3، شماره 2، تیر 2022، صفحه 46-51   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/fomj.2022.1953414.1064

نویسندگان

Rohollah Bakhshandeh^{* 1}؛ Isa Bakhshandeh²

¹Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran.

²Department of Mathematics, Iran University of Science and Technology, Iran.

چکیده

In present paper, the stability of generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras for the generalized kind of Jensen-type functional equation is investigated. In fact, the main purpose of present paper is to prove the generalized Hyers-Ulam-Rassias stability of generalized Jordan derivation between algebra ${mathcal A}$ and an ${mathcal A}$-bimodule ${mathcal M}$. In present paper, the stability of generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras for the generalized kind of Jensen-type functional equation is investigated. In fact, the main purpose of present paper is to prove the generalized Hyers-Ulam-Rassias stability of generalized Jordan derivation between algebra ${mathcal A}$ and an ${mathcal A}$-bimodule ${mathcal M}$.

کلیدواژه‌ها

‎Generalized Jordan Derivations؛ Jensen-type؛ Stability