Mathematician:Masayoshi Nagata

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 Criterion

• 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

Sources

• John J. O'Connor and Edmund F. Robertson: "Masayoshi Nagata": MacTutor History of Mathematics archive