Morita Theorems and the Picard Group
The Morita theorem stated and proved in Chapter 4 is taken up again in this chapter in expanded and more general form, to be used in the determination of the Picard group Pic (mod-A) of all k-linear auto-equivalences of mod-A for an arbitrary algebra A, and also (in Exercises for Chapter 12, and in Chapter 32) of the Brauer group of a commutative ring k.
KeywordsCommutative Ring Isomorphism Class Equivalence Data Picard Group Dedekind Domain
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- Kurosch, A. G.: General Algebra. New York: Chelsea 1963.Google Scholar
- Artin, E.: Galois Theory. South Bend: Notre Dame University 1955.Google Scholar
- [66a]Cohn, P. M.: Morita Equivalence and Duality. University of London, Bookstore, Queen Mary College, Mile End Road, London 1966.Google Scholar
- Feller, E. H., Swokowski, E. W.: Reflective rings with the ascending chain condition. Proc. Amer. Math. Soc. 12, 651–653 (1961).Google Scholar
- Findlay, G. D., Lambek, J.: A generalized ring of quotients, I, II. Canad. Math. Bull. 1, 77-85, 155–167 (1958).Google Scholar
- Freyd, P.: Functor Theory. Ph. D. Thesis, Columbia University 1970.Google Scholar