Remarks on α-strongly irreducible ideals

M. J. Nikmehr , F. Fatahi

Front. Math. China ›› 2011, Vol. 6 ›› Issue (5) : 901 -910.

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Front. Math. China ›› 2011, Vol. 6 ›› Issue (5) : 901 -910. DOI: 10.1007/s11464-011-0156-3
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Remarks on α-strongly irreducible ideals

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Abstract

In this article, we study α-irreducible and α-strongly irreducible ideals of a commutative ring. The relations between α-strongly irreducible ideals of a ring and α-strongly irreducible ideals of localization of the ring are also studied.

Keywords

α-irreducible / α-strongly irreducible / primary ideal / faithful module / multiplication module

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M. J. Nikmehr, F. Fatahi. Remarks on α-strongly irreducible ideals. Front. Math. China, 2011, 6(5): 901-910 DOI:10.1007/s11464-011-0156-3

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