Introduction and Application of the Neutrosophic Ideal in Gamma-Near-Ring

Amr Elrawy; Florentin Smarandache; Susan F. El-Deken

Introduction and Application of the Neutrosophic Ideal in Gamma-Near-Ring

Authors

Amr Elrawy Department of Mathematics, Faculty of Science, SVU, Qena 83523, Egypt
Florentin Smarandache Department of Mathematics, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA
Susan F. El-Deken Department of Mathematics, Faculty of Science, Helwan University, Ain Helwan, 11790, Helwan, Egypt

Keywords:

Neutrosophic ideal, near-ring, gamma-near-ring.

Abstract

In this paper, we present the notion of neutrosophic ideals in gamma-near-rings. Subsequently,
an examination of basic properties related to these ideals is conducted. We also provide characterizations of
neutrosophic ideals. Furthermore, we establish a neutrosophic ideal by utilizing a collection of ideals. Finally,
we introduce an application.

DOI: 10.5281/zenodo.15155161

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Published

2025-06-01

Issue

Vol. 83 (2025): Neutrosophic Sets and Systems

Section

Article

License

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

Creative Commons Attribution (CC BY) license.

How to Cite

Amr Elrawy, Florentin Smarandache, & Susan F. El-Deken. (2025). Introduction and Application of the Neutrosophic Ideal in Gamma-Near-Ring. Neutrosophic Sets and Systems, 83, 469-481. https://fs.unm.edu/nss8/index.php/111/article/view/6132