Graded Weakly Strongly Quasi-Primary Ideals over Commutative Graded Rings

Autor:	Azzh Saad Alshehry, Rashid Abu-Dawwas, Basel Hawary
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Graded primary ideal Graded weakly primary ideal Graded quasi primary ideal Graded weakly 2-prime ideal Graded strongly quasi primary ideal Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 18, p 2857 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12182857
Popis:	In this article, we introduce and examine the concept of graded weakly strongly quasi primary ideals. A proper graded ideal P of R is said to be a graded weakly strongly quasi primary (shortly, Gwsq-primary) ideal if whenever 0≠xy∈P, for some homogeneous elements x,y∈R, then x2∈P or yn∈P, for some positive integer n. Many examples and properties of Gwsq-primary ideals are given. Among several results, we compare Gwsq-primary ideals and other classical graded ideals such as graded strongly quasi primary ideals, graded weakly primary ideals and graded weakly 2-prime ideals etc.
Databáze:	Directory of Open Access Journals
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