What type of study is this?

September 10, 2025

Bi-Semiderivations on Triangular Algebra

Key Points

All bi-semiderivations perform as inner bi-derivations under specific conditions.
The study analyzes the interaction between bi-semiderivations and module homomorphisms in triangular algebra.
Conditions where φ(e, e) = 0 and φ(γ, γ) = 0 are central to the findings.
This research highlights the structural implications of bi-semiderivations in triangular algebra.

Abstract

The intension of present study is to investigate the structure of bi-semiderivations on triangular algebra with the help of associated module homomorphism. Moreover, we prove that all bi-semiderivations φ on triangular algebra will act as inner bi-derivations under some specific conditions stated that φ(e, e) = 0 = φ(γ, γ), where e represents unity and γ stands for the module homomorphism.

AI에게 질문

Bookmark