Tadashi Nakayama
Tadashi Nakayama , also Tadasi Nakayama , Tadasi Nakamura ( Japanese 中山 正 , Nakayama Tadashi ; born July 26, 1912 in Tokyo Prefecture ; † June 5, 1964 in Nagoya ) was a Japanese mathematician who studied algebra .
Live and act
Tadashi Nakayama graduated from Tokyo University in 1935 . He seems to have learned algebra in self-study from the book by Emmy Noether student Kenjiro Shoda . In 1935 he became a researcher and in 1937 an assistant professor at Osaka University . From 1937 to 1939 he was at the Institute for Advanced Study in Princeton , where he met Richard Brauer , Emil Artin , Claude Chevalley and Cecil J. Nesbitt . He was particularly influenced by Brauer, whom he visited twice in Toronto and who led him to study representation theory. In 1941 he received his doctorate from Osaka University . In 1942 he was assistant professor and in 1944 professor at Nagoya University . In 1948/49 he was at the University of Illinois , 1953 to 1955 at the University of Hamburg and in 1955/56 again at the Institute for Advanced Study. He died of complications from tuberculosis , which he had before 1937, but which he kept quiet at the time so that he could travel abroad.
Nakayama worked on modular representations of symmetrical groups , Galois theory of rings, and quasi-Frobenius rings. He was also interested in class field theory (in 1952 he introduced a cohomology there with Gerhard Hochschild ) and in the years before his death is said to have worked intensively into the revolutionary innovations in algebraic geometry by Alexander Grothendieck and his school, which worsened his health. The Nakayama lemma in commutative algebra is named after him.
With Gorō Azumaya he wrote an advanced book on algebra, in which they also presented many of their results.
In 1949 he won the Chūnichi Bunkashō Prize of the Chūnichi Shimbun newspaper with his scientific collaborator Gorō Azumaya . In 1954 he won the Nippon Gakushiin-shō Prize of the Japanese Academy of Sciences . From 1963 he was a member of the Japanese Academy of Sciences.
Fonts
Books
- 局 所 類 体 論 (Local Class Field Theory ), 岩 波 書店 , 1935 (Japanese)
- 束 論 (Association theory), 岩 波 書店 , 1944 (Japanese)
- 代数 系 と 微分: 代 数学 よ り の 二三 の 話題 (Algebraic Structure and Derivation), 河 出 書房 , 1948 (Japanese)
- 集合 ・ 位相 ・ 代数 系 (set, topology, algebraic structure), 至 文 堂 , 1949 (Japanese)
- with Gorō Azumaya : 代 数学 II: 環 論 (Algebra II: ring theory), 岩 波 書店 , 1954 (Japanese)
- with Akira Hattori: ホ モ ロ ジ ー 代 数学 (Homological Algebra), 共 立 出版 , 1957 (Japanese)
items
- A sentence on p-adic oblique bodies (April 12, 1934), Proceedings of the Imperial Academy 10, 1934, pp. 198-199, doi : 10.3792 / pia / 1195580638
- with Kenjiro Shoda: On the product of two algebra classes with mutually prime discriminants (October 12, 1934), Proceedings of the Imperial Academy 10, 1934, pp. 443-446, doi : 10.3792 / pia / 1195580561
- On the definition of the Shodas discriminants of a normal simple hyper-complex system (October 12, 1934), Proceedings of the Imperial Academy 10, 1934, pp. 447-449, doi : 10.3792 / pia / 1195580562
- A remark on representations of groups (October 30, 1937), Bulletin of the AMS 44, 1938, pp. 233–235, doi : 10.1090 / S0002-9904-1938-06723-7 (English)
- with Cecil J. Nesbitt : Note on symmetric algebras (March 21, 1938), Annals of Mathematics 39, July 1938, pp. 659–668 (English)
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On Frobeniusean algebras (English; dissertation)
- I (February 2, 1939), Annals of Mathematics 40, July 1939, pp. 611-633, doi : 10.2307 / 1968946
- II (July 13, 1939), Annals of Mathematics 42, January 1941, pp. 1-21, doi : 10.2307 / 1968984
- III (June 13, 1941), Japanese Journal of Mathematics 18, 1942, pp. 49-65
- Note on uni-serial and generalized uni-serial rings (July 12, 1940), Proceedings of the Imperial Academy 16, 1940, pp. 285–289, doi : 10.3792 / pia / 1195579089 (English)
- A remark on finitely generated modules (May 15, 1951), Nagoya Mathematical Journal 3, 1951, pp. 139–140 (English; Nakayama lemma)
- Class group of cohomologically trivial modules and cyclotomic ideals (December 13, 1963), Acta Arithmetica 9, 1964, pp. 245-256 (English)
literature
- Obituary: Tadasi Nakayama , Nagoya Mathematical Journal 27, 1966 (English; obituary; with picture; list of writings on pp. I – vii)
Web links
- John J. O'Connor, Edmund F. Robertson : Tadashi Nakayama. In: MacTutor History of Mathematics archive .
- 中山 正 博士 ─── 現代 代 数学 の 先 駆 者 (pioneer of modern algebra - Dr. Tadashi Nakayama) - memorial page at the University of Nagoya (Japanese)
- Tadashi (or Tadasi) Nakayama (1912 - 1964) - biography at the University of Bielefeld (English)
Individual evidence
- ↑ His dissertation On Frobenius Algebras appeared in several parts, see section Writings .
- ↑ 第 1 回 ~ 第 10 回 受 賞 者 : 中 日 文化 賞. Chūnichi Shimbun, accessed August 21, 2008 (Japanese).
- ↑ 恩賜 賞 ・ 日本 学士 院 賞 ・ 日本 学士 院 エ ジ ン バ ラ 公 賞 受 賞 者 一 覧 (50 音). Nippon Gakushiin (The Japan Academy), accessed August 21, 2008 (Japanese).
personal data | |
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SURNAME | Nakayama, Tadashi |
ALTERNATIVE NAMES | 中山 正 (Japanese); Nakayama, Tadasi |
BRIEF DESCRIPTION | Japanese mathematician |
DATE OF BIRTH | July 26, 1912 |
PLACE OF BIRTH | Tokyo prefecture |
DATE OF DEATH | 5th June 1964 |
Place of death | Nagoya |