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Weakly irreducible ideals | ||
| Journal of Algebra and Related Topics | ||
| مقاله 2، دوره 4، شماره 2، اسفند 2016، صفحه 9-17 اصل مقاله (343.52 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| M. Samiei* 1؛ H. Fazaeli Moghimi2 | ||
| 1Department of Mathematics, Velayat University, Iranshahr, Iran. | ||
| 2Department of Mathematics, University of Birjand, Birjand, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Weakly irreducible ideal؛ quasi-primary ideal؛ strongly irreducible ideal | ||
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