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1997•Bulletin of the Korean Mathematical SocietyRequires access

On the cohen-macaulayness of the associated graded ring of an equimultiple ideal

Mee-Kyoung Kim

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Abstract

Throughout this paper, all rings are assumed to be commutative with identity. By a local ring (R,m), we mean a Noetherian ring R which has a unique maximal ideal m. Let I be an ideal in a ring R and t an indeterminate over R.

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What this paper is about

Throughout this paper, all rings are assumed to be commutative with identity. By a local ring (R,m), we mean a Noetherian ring R which has a unique maximal ideal m. Let I be an ideal in a ring R and t an indeterminate over R.

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Available abstract

Throughout this paper, all rings are assumed to be commutative with identity. By a local ring (R,m), we mean a Noetherian ring R which has a unique maximal ideal m. Let I be an ideal in a ring R and t an indeterminate over R.

Key concepts: Mathematics, Radical of a ring, Ideal (ethics), Noetherian ring, Principal ideal ring, Ring (chemistry), Commutative ring, Local ring

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