Bi-Semiderivations on Triangular Algebra

Authors

  • Aisha Al-Subhi Department of Mathematics, Faculty of Science, Taibah University, Madinah, KSA
  • Faiza Shujat Department of Mathematics, Faculty of Science, Taibah University, Madinah, KSA https://orcid.org/0000-0001-5537-9837 (unauthenticated)
  • Ahlam Fallatah Department of Mathematics, Faculty of Science, Taibah University, Madinah, KSA

DOI:

https://doi.org/10.37256/cm.6420257425

Keywords:

bi-semiderivation, module, 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.

References

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Published

2025-08-04

Issue

Contemporary Mathematics, Volume 6 Issue 4 (2025), 3846-5367

Section

Research Article

License

Copyright (c) 2025 Faiza Shujat, et al.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Bi-Semiderivations on Triangular Algebra. Contemp. Math. [Internet]. 2025 Aug. 4 [cited 2025 Dec. 24];6(4):4747-61. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/7425