weakly irreducible ideals
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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 $r$ are also studied.
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Journal title:
journal of algebra and related topicsجلد ۴، شماره ۲، صفحات ۹-۱۷
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