Generalized Jordan bi-derivations on triangular algebra

Faiza Shujat; Aisha  Al-Subhi; Abu Zaid Ansari

doi:10.5269/bspm.77333

Faiza Shujat Taibah University, Madinah KSA
Aisha Al-Subhi Taibah University, Madinah KSA
Abu Zaid Ansari Department of Mathematics, Faculty of Science, Islamic University, KSA

Abstract

In the current investigation, our primary objective is to find the structure of generalized Jordan biderivations on triangular algebra. Infact, we establish that all generalized Jordan biderivations on a triangular algebra will be of the form of an inner derivation. Our proof contains an entirely different approach and conclusion from the existing classical theory in [13] which states that if R is a prime ring of characteristic different from 2, then any Jordan derivation of R is an ordinary derivation.

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Author Biographies

Faiza Shujat, Taibah University, Madinah KSA

Associate Professor

Department of Mathematics

Aisha Al-Subhi, Taibah University, Madinah KSA

Master Student

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