# Mathematician:Masayoshi Nagata

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## Contents

## 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)

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*