Mathematician:Masayoshi Nagata

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 Criterion


 * Nagata Ring
 * Nagata-Biran Conjecture (with Paul Biran)
 * Nagata's Conjecture on Curves
 * Chevalley-Iwahori-Nagata theorem (with Claude Chevalley and Nagayoshi Iwahori)

Books, Publications, etc.

 * 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