Mathematician:Masayoshi Nagata

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Japanese mathematician who worked mainly in the field of commutative algebra.

Resolved Hilbert's 14th problem by providing a counterexample.




  • Born: February 9, 1927, Obu, Aichi Prefecture, Japan
  • Died: August 27, 2008, Kyoto, Japan

Theorems and Definitions

Definitions of concepts named for Masayoshi Nagata can be found here.


  • 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