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.
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© 1993 Springer Science+Business Media New York
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Farb, B., Dennis, R.K. (1993). Central Simple Algebras. In: Noncommutative Algebra. Graduate Texts in Mathematics, vol 144. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0889-1_4
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DOI: https://doi.org/10.1007/978-1-4612-0889-1_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6936-6
Online ISBN: 978-1-4612-0889-1
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