@article{Hummdi2024, 
author = {Ali Yahya Hummdi and Amr Elrawy},
title = {On neutrosophic ideals and prime ideals in rings},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {24762-24775},
keywords = {neutrosophic set, regular ring, neutrosophic ideal, neutrosophic prime ideal},
url = {https://www.sciopen.com/article/10.3934/math.20241205},
doi = {10.3934/math.20241205},
abstract = {This article aims to introduce and explore the concept of neutrosophic ideals in the context of rings. Besides, we investigate how the property of regularity in a ring can be understood through the lens of neutrosophic ideals. We further present the concept of neutrosophic prime ideals and systematically identify all neutrosophic prime ideals in  Z.}
}