On neutrosophic ideals and prime ideals in rings

Autor: Ali Yahya Hummdi, Amr Elrawy
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 9, Pp 24762-24775 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20241205?viewType=HTML
Popis: 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 $ \mathbb{Z} $.
Databáze: Directory of Open Access Journals