Associated Prime Ideal and Minimal Prime Ideal of an Ideal of an L-Subring

Autor:	Anand Swaroop Prajapati, Naseem Ajmal, Iffat Jahan
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	prime ideal semiprime ideal primary ideal radical of an ideal l-subring Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Zdroj:	Fuzzy Information and Engineering, Vol 15, Iss 4, Pp 324-334 (2023)
Druh dokumentu:	article
ISSN:	1616-8658 1616-8666
DOI:	10.26599/FIE.2023.9270023
Popis:	In this paper, a systematic theory for the ideals of an L-ring L(μ,R) has been developed. Earlier the authors have introduced the concepts of prime ideals, semiprime ideals, primary ideals, and radical of an ideal in an L-ring. They have also introduced and discussed the notion of a maximal ideal in different papers wherein several results pertaining to these notions have been proved. In this paper, the concepts of associated prime ideal, minimal prime ideal, and that of irreducibility of an ideal in an L-ring have been introduced, which in fact, are the continuation of authors’ previous works in the theory of ideals in L-rings.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/dbd97482025c48be8f7aeb754f7fb295 Zobrazit plný text záznamu View record in DOAJ