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- Q17099060 subject Q8399470.
- Q17099060 subject Q8851962.
- Q17099060 abstract "In algebra, the Mori–Nagata theorem introduced by Yoshiro Mori (1953) and Nagata (1955), states the following: let A be a noetherian reduced commutative ring with the total ring of fractions K. Then the integral closure of A in K is a direct product of r Krull domains, where r is the number of minimal prime ideals of A.The theorem is a partial generalization of the Krull–Akizuki theorem, which concerns a one-dimensional noetherian domain. A consequence of the theorem is that if R is a Nagata ring, then every R-subalgebra of finite type is again a Nagata ring (Nishimura 1976).The Mori–Nagata theorem follows from Matijevic's theorem.".
- Q17099060 wikiPageExternalLink 1250522963.
- Q17099060 wikiPageExternalLink 1250777189.
- Q17099060 wikiPageExternalLink 1250777561.
- Q17099060 wikiPageWikiLink Q1493740.
- Q17099060 wikiPageWikiLink Q17098959.
- Q17099060 wikiPageWikiLink Q1778193.
- Q17099060 wikiPageWikiLink Q5695923.
- Q17099060 wikiPageWikiLink Q582271.
- Q17099060 wikiPageWikiLink Q623257.
- Q17099060 wikiPageWikiLink Q6423024.
- Q17099060 wikiPageWikiLink Q6439289.
- Q17099060 wikiPageWikiLink Q6958665.
- Q17099060 wikiPageWikiLink Q8399470.
- Q17099060 wikiPageWikiLink Q858656.
- Q17099060 wikiPageWikiLink Q8851962.
- Q17099060 comment "In algebra, the Mori–Nagata theorem introduced by Yoshiro Mori (1953) and Nagata (1955), states the following: let A be a noetherian reduced commutative ring with the total ring of fractions K. Then the integral closure of A in K is a direct product of r Krull domains, where r is the number of minimal prime ideals of A.The theorem is a partial generalization of the Krull–Akizuki theorem, which concerns a one-dimensional noetherian domain.".
- Q17099060 label "Mori–Nagata theorem".