INTEGRAL CLOSURE OF A GRADED NOETHERIAN DOMAIN

Title & Authors
INTEGRAL CLOSURE OF A GRADED NOETHERIAN DOMAIN
Park, Chang-Hwan; Park, Mi-Hee;

Abstract
We show that, if R is a graded Noetherian ring and I is a proper ideal of R generated by n homogeneous elements, then any prime ideal of R minimal over I has h-height $\small{{\leq}}$ n, and that if R is a graded Noetherian domain with h-dim R $\small{{\leq}}$ 2, then the integral closure R' of R is also a graded Noetherian domain with h-dim R' $\small{{\leq}}$ 2. We also present a short improved proof of the result that, if R is a graded Noetherian domain, then the integral closure of R is a graded Krull domain.
Keywords
Language
English
Cited by
1.
ON GRADED KRULL OVERRINGS OF A GRADED NOETHERIAN DOMAIN,;;

대한수학회보, 2012. vol.49. 1, pp.205-211
1.
Affine weakly regular tensor triangulated categories, Pacific Journal of Mathematics, 2016, 285, 1, 93
2.
ON GRADED KRULL OVERRINGS OF A GRADED NOETHERIAN DOMAIN, Bulletin of the Korean Mathematical Society, 2012, 49, 1, 205
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