University of Guilan Journal of Algebra and Related Topics 2345-3931 4 2 2016 12 01 Weakly irreducible ideals 9 17 2001 EN M. Samiei Department of Mathematics, Velayat University, Iranshahr, Iran. H. Fazaeli Moghimi Department of Mathematics, University of Birjand, Birjand, Iran. Journal Article 2016 07 13 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 $R$ are also studied. https://jart.guilan.ac.ir/article_2001_9216f3d6632631978bd0157cd816db85.pdf