Central Simple Algebras
Identifieur interne : 001F12 ( Main/Exploration ); précédent : 001F11; suivant : 001F13Central Simple Algebras
Auteurs : Benson Farb [États-Unis] ; R. Keith Dennis [États-Unis]Source :
- Graduate Texts in Mathematics [ 0072-5285 ] ; 1993.
Abstract
Abstract: In the first two chapters we studied rings and modules. Many of the important examples we studied, such as polynomial rings, matrix rings, group rings and the quaternions, have additional structure we have been ignoring; namely, they are modules as well as rings, and the ring multiplication is compatible 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.
Url:
DOI: 10.1007/978-1-4612-0889-1_4
Affiliations:
- États-Unis
- New Jersey, État de New York
- Ithaca (New York), Princeton (New Jersey)
- Université Cornell, Université de Princeton
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