Generalized Derivations on Infinite Distributive Lattices

Abu Zaid Ansari; Areej Almuhaimeed; Noorbhasha Rafi; Faiza  Shujat

doi:10.37256/cm.75202610193

Generalized Derivations on Infinite Distributive Lattices

Authors

Abu Zaid Ansari Department of Mathematics, Faculty of Science, Islamic University of Madinah, Saudi Arabia
Areej Almuhaimeed Department of Mathematics, College of Science, Taibah University, Madinah, Saudi Arabia
Noorbhasha Rafi Department of Mathematics, Siddhartha Academy of Higher Education, Deemed to be University, Vijayawada, Andhra Pradesh, 520007, India
Faiza Shujat Department of Mathematics, College of Science, Taibah University, Madinah, Saudi Arabia https://orcid.org/0000-0001-5537-9837

DOI:

https://doi.org/10.37256/cm.75202610193

Keywords:

infinitely distributive lattice, generalized derivation, generalized biderivation

Abstract

Our goal in this study is to determine the structure of generalized derivations on an infinitely distributive lattice. Our analysis reveals that the redefined mapping acts as a generalized biderivation in a particular setting. Moreover, we investigate some interesting properties of generalized derivation and generalized biderivation on a distributive lattice.

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Published

2026-08-27

How to Cite

Ansari AZ, Almuhaimeed A, Rafi N, Shujat F. Generalized Derivations on Infinite Distributive Lattices. Contemp. Math. [Internet]. 2026 Aug. 27 [cited 2026 Nov. 14];7(5):4936-47. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/10193

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Issue

Contemporary Mathematics, Volume 7 Issue 5 (2026), 4909-5078

Section

Research Article

License

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