Titlebook: Noncommutative Algebra; Benson Farb,R. Keith Dennis Textbook 1993 Springer Science+Business Media New York 1993 K-theory.algebra.commutati

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0072-5285 Five. We have tried not to leave any gaps on the paths to proving the main theorem- at most we ask the reader to fill in details for some of the sideline results; indeed this can be a fruitful way of solidifying one‘s understanding.978-1-4612-6936-6978-1-4612-0889-1Series ISSN 0072-5285 Series E-ISSN 2197-5612

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Central Simple Algebrastible with the module multiplication. Thus, these objects are algebras (for definitions and basic properties concerning algebras, see Chapter 0). We now wish to exploit this additional structure in order to learn more about these and other examples.

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The Brauer Group of a Commutative Ringical Brauer group. The Brauer group of a commutative ring is also part of a Galois theory of commutative rings. For more on these matters, the reader may consult . by Chase, Harrison and Rosenberg, . by Orzech and Small, . by DeMeyer and Ingraham, or the paper of Auslander and Goldman quoted above.

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