Algebra: Rings, Modules and Categories I

by Carl Clifton Faith

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...

• Format: Paperback
• Language: English
• ISBN: 3642806368
• ISBN13: 9783642806360
• Release Date: August 2012
• Publisher: Springer
• Length: 568 Pages
• Weight: 1.80 lbs.
• Dimensions: 1.2" x 6.1" x 9.2"