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- Mori–Nagata_theorem 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.".
- Mori–Nagata_theorem wikiPageID "35957110".
- Mori–Nagata_theorem wikiPageRevisionID "573265171".
- Mori–Nagata_theorem authorlink "Yoshiro Mori".
- Mori–Nagata_theorem first "Yoshiro".
- Mori–Nagata_theorem last "Mori".
- Mori–Nagata_theorem year "1953".
- Mori–Nagata_theorem subject Category:Commutative_algebra.
- Mori–Nagata_theorem subject Category:Theorems_in_algebra.
- Mori–Nagata_theorem 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.".
- Mori–Nagata_theorem label "Mori–Nagata theorem".
- Mori–Nagata_theorem sameAs Mori%E2%80%93Nagata_theorem.
- Mori–Nagata_theorem sameAs Q17099060.
- Mori–Nagata_theorem sameAs Q17099060.
- Mori–Nagata_theorem wasDerivedFrom Mori–Nagata_theorem?oldid=573265171.