Weakly irreducible ideals
Author(s):
Abstract:
Let R be a commutative ring. The purpose of this article is to introduce a new class of ideals of R called weakly irreducible ideals. This class could be a generalization of the families quasi-primary ideals and strongly irreducible ideals. The relationships between the notions primary, quasi-primary, weakly irreducible, strongly irreducible and irreducible ideals, in different rings, has been given. Also the relations between weakly irreducible ideals of R and weakly irreducible ideals of localizations of the ring Rare also studied.
Keywords:
Language:
English
Published:
Journal of Algebra and Related Topics, Volume:4 Issue: 2, Autumn 2016
Pages:
9 to 17
https://magiran.com/p1643054