Kiiti Morita

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Kiiti Morita ( Japanese 森田 紀 一 , Morita Kiichi ; born February 11, 1915 in Hamamatsu , † August 4, 1995 in Tokyo ) was a Japanese mathematician who studied algebra ( ring theory , homological algebra ) and general topology .

Morita studied at Tokyo Higher Normal School, where he graduated in 1936. From 1939 he was a lecturer at the Tokyo School of Humanities and Natural Sciences, received his doctorate in 1950 on topology from the University of Osaka and from 1951 was a professor at the Tokyo University of Education (which in 1949, among other things, came from the Association of the Tokyo School of Humanities and Natural Sciences and the higher Normal school Tokyo was established and later merged into the University of Tsukuba ) and after his retirement at the University of Tsukuba from 1978 at the Sophia University in Tokyo.

Fundamental algebraic concepts come from Morita, which he developed in relative isolation in the 1950s (he was not part of the leading Japanese algebra group at Nagoya University led by Tadashi Nakayama ). He is known for the Morita theory in module and ring theory (Morita equivalence, Morita duality), which he developed in 1958. His equivalence theorems are an important technique of modern algebra and were best known in the USA and Europe through the lectures given by Hyman Bass in the early 1960s.

In the general topology, he worked on many areas such as normality , Para compactness ( set of Morita ), dimension theory , homotopy theory , Klassfikationsräume of illustrations, Shape Theory. In 1954, in dimension theory, he showed the equivalence of different dimension definitions. His Morita conjectures about normal spaces have since been proven ( Mary Ellen Rudin , K. Chiba and TC Przymusiński 1986, Zoltán Tibor Balogh 2001).

He was married and had a son.

Web links

References

  1. ↑ in which he taught himself mostly self-taught. His mathematical training mainly concerned algebra
  2. ↑ which was developed independently by Gorō Azumaya in 1959
  3. ↑ Morita Duality for modules and its application to the theory of rings with minimum condition , Scientific Report Tokyo Kyoiku Daigaku, Section A, Vol. 6, 1958, pp. 83-142
  4. ^ Bass The Morita Theorems , University of Oregon 1962, mimeographed notes
  5. ↑ originally by Karol Borsuk
  6. ↑ Morita Normal families and dimension theories in metric spaces , Mathematische Annalen, Vol. 128, 1954, p. 350. He showed the equivalence of the overlap dimension with the large inductive dimension for any metrisable spaces (for separable metrisable spaces the equivalence of the various definitions previously known by Hurewicz and others), also independently proven by M. Katetov
  7. ↑ Morita Some problems on normality of product spaces , in J. Novák (editor), General Topology and its relation to modern analysis and algebra, Proc. 4th Prague Topology Symposium 1976
personal data
SURNAME Morita, Kiiti
ALTERNATIVE NAMES 森田 紀 一 (Japanese); Morita Kiichi (Hepburn reading)
BRIEF DESCRIPTION Japanese mathematician
DATE OF BIRTH February 11, 1915
PLACE OF BIRTH Hamamatsu
DATE OF DEATH 4th August 1995
Place of death Tokyo