A characterizationo f prime noetherian P.I. rings and a theorem of Mori-Nagata

Amiram Braun

doi:10.1090/S0002-9939-1979-0521864-6

A characterizationo f prime noetherian P.I. rings and a theorem of Mori-Nagata

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Abstract

Let R be a noetherian prime p.i. ring, C the center of R and C its normalization. It is proved that R is integral over its center if f C is a Krull domain. We also give a simple proof for the following theorem [7]: The normalization of a commutative noetherian domain is Krull.

Original language	English
Pages (from-to)	9-15
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	74
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1979-0521864-6
State	Published - Apr 1979
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1979-0521864-6

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abstract = "Let R be a noetherian prime p.i. ring, C the center of R and C its normalization. It is proved that R is integral over its center if f C is a Krull domain. We also give a simple proof for the following theorem [7]: The normalization of a commutative noetherian domain is Krull.",

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AB - Let R be a noetherian prime p.i. ring, C the center of R and C its normalization. It is proved that R is integral over its center if f C is a Krull domain. We also give a simple proof for the following theorem [7]: The normalization of a commutative noetherian domain is Krull.

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A characterizationo f prime noetherian P.I. rings and a theorem of Mori-Nagata

Abstract

ASJC Scopus subject areas

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