Kiiti Morita
Encyclopedia
was a Japan
ese mathematician
working in algebra
and topology
.
He received his Ph.D. from the University of Osaka
in 1950 and was professor at the University of Tsukuba
.
He introduced the concepts now known as Morita equivalence
and Morita duality which were given wide circulation in the 1960s by Hyman Bass
in a series of lectures. The Morita conjectures
on normal topological spaces
are also named after him.
Japan
Japan is an island nation in East Asia. Located in the Pacific Ocean, it lies to the east of the Sea of Japan, China, North Korea, South Korea and Russia, stretching from the Sea of Okhotsk in the north to the East China Sea and Taiwan in the south...
ese mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
working in algebra
Algebra
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures...
and topology
Topology
Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...
.
He received his Ph.D. from the University of Osaka
Osaka Prefecture University
, also abbreviated to , is one of the largest public universities in Japan. The main campus is among big Kofun tombs in Sakai, Osaka.- History :...
in 1950 and was professor at the University of Tsukuba
University of Tsukuba
is located in the city of Tsukuba, Ibaraki Prefecture in the Kantō region of Japan. The University has 28 college clusters and schools with a total of around 15,000 students...
.
He introduced the concepts now known as Morita equivalence
Morita equivalence
In abstract algebra, Morita equivalence is a relationship defined between rings that preserves many ring-theoretic properties. It is named after Japanese mathematician Kiiti Morita who defined equivalence and a similar notion of duality in 1958.- Motivation :...
and Morita duality which were given wide circulation in the 1960s by Hyman Bass
Hyman Bass
Hyman Bass is an American mathematician, known for work in algebra and in mathematics education. From 1959-1998 he was Professor in the Mathematics Department at Columbia University, where he is now professor emeritus...
in a series of lectures. The Morita conjectures
Morita conjectures
The Morita conjectures in general topology are certain problems about normal spaces, now solved in the affirmative. They asked# If X × Y is normal for every normal space Y, is X discrete?...
on normal topological spaces
Normal space
In topology and related branches of mathematics, a normal space is a topological space X that satisfies Axiom T4: every two disjoint closed sets of X have disjoint open neighborhoods. A normal Hausdorff space is also called a T4 space...
are also named after him.