VI of Oregon lectures in 1962, Bass gave simplified proofs of a number of "Morita Theorems," incorporating ideas of Chase and Schanuel. One of the Morita theorems characterizes when there is an equivalence of categories mod-A R:: mod-B for two rings A and B. Morita's solution organizes ideas so efficiently that the classical Wedderburn-Artin theorem is a simple consequence, and moreover, a similarity class AJ in the Brauer group Br(k) of Azumaya algebras over a commutative ring k consists of all algebras B such that the corresponding categories mod-A and mod-B consisting of k-linear...
VI of Oregon lectures in 1962, Bass gave simplified proofs of a number of "Morita Theorems," incorporating ideas of Chase and Schanuel. One of the Mor...
