Mathematician:Masayoshi Nagata
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Mathematician
Japanese mathematician who worked mainly in the field of commutative algebra.
Resolved Hilbert's 14th problem by providing a counterexample.
Nationality
Japanese
History
- Born: February 9, 1927, Obu, Aichi Prefecture, Japan
- Died: August 27, 2008, Kyoto, Japan
Theorems and Definitions
- Nagata Ring
- Nagata-Biran Conjecture (with Paul Biran)
- Nagata's Conjecture on Curves
- Chevalley-Iwahori-Nagata Theorem (with Claude Chevalley and Nagayoshi Iwahori)
Results named for Masayoshi Nagata can be found here.
Definitions of concepts named for Masayoshi Nagata can be found here.
Publications
- 1949: Note on groups of automorphisms (with Noboru Ito)
- 1950: On the structure of complete local rings
- 1950: On the theory of semi-local rings
- 1957: Algebraic Geometry (with Yosikazu Nakai)
- 1958: On the fourteenth problem of Hilbert
- 1962: Local Rings
- 1965: Lectures on the fourteenth problem of Hilbert
- 1971: On flat extensions of a ring
- 1972: On automorphism group of $k [x, y]$
- 1978: Polynomial rings and affine spaces
- 1985: Theory of commutative fields