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Integral Domains and Polynomials

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Fields and Galois Theory

Part of the book series: Springer Undergraduate Mathematics Series ((SUMS))

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Abstract

In Chapter 3 we shall start our serious study of fields. But first we need to build our toolkit, which involves polynomial rings over fields. These, as we shall see, are integral domains of a particular kind, and it helps to develop some of the abstract theory of these domains before applying the ideas to polynomials.

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© 2006 Springer-Verlag London Limited

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(2006). Integral Domains and Polynomials. In: Fields and Galois Theory. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-84628-181-5_2

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