Kiiti Morita

Kiiti Morita (Japanese森田 纪 一, Morita Kiichi; born February 11, 1915 in Hamamatsu, † August 4, 1995 in Tokyo ) was a Japanese mathematician who with Algebra (Ring Theory, Homological Algebra ) and general topology employed.

Morita studied at the Higher Normal School Tokyo, where in 1936 he received his diploma. From 1939 he was a lecturer at the Humanities and Natural Sciences, University of Tokyo, received his doctorate in 1950 Topologiean Osaka University and was from 1951 professor at the Pedagogical University of Tokyo ( 1949, among others, from the Association of Humanities and Natural Sciences, University of Tokyo and the Higher Normal School Tokyo was established, and later in the University of Tsukuba rose ) and after his retirement from the University of Tsukuba in 1978 at Sophia University in Tokyo.

From Morita derived fundamental algebraic concepts he developed in relative isolation in the 1950s (he was not part of Japan's leading Algebra Group at the University of Nagoya by Tadashi Nakayama ). He is responsible for the Morita theory in module and ring theory known ( Morita equivalence, Morita- duality ), which he developed in 1958. Its equivalence sets are an important technique of modern algebra and were known primarily by the lectures of Hyman Bass in the early 1960s in the U.S. and Europe.

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

He was married and had a son.