2003Contemporary mathematics - American Mathematical SocietyRequires access

Some normal monomial ideals

Marie A. Vitulli

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Abstract

Abstract. In this paper we investigate the question of normality for special monomial ideals in a polynomial ring over a field. We first include some expository sections that give the basics on the integral closure of a ideal, the Rees algebra on an ideal, and some fundamental results on the integral closure of a monomial ideal. 1.

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Abstract. In this paper we investigate the question of normality for special monomial ideals in a polynomial ring over a field. We first include some expository sections that give the basics on the integral closure of a ideal, the Rees algebra on an ideal, and some fundamental results on the integral closure of a monomial ideal. 1.

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Available abstract

Abstract. In this paper we investigate the question of normality for special monomial ideals in a polynomial ring over a field. We first include some expository sections that give the basics on the integral closure of a ideal, the Rees algebra on an ideal, and some fundamental results on the integral closure of a monomial ideal. 1.

Key concepts: Mathematics, Monomial, Monomial ideal, Pure mathematics, Algebra over a field, Mathematical analysis, Polynomial ring, Polynomial

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