Abstract
Assuming the usual undergraduate knowledge of linear algebra, Chap. 1 introduces the basic language and notions of commutative algebra, with emphasis on rings, prime and maximal ideals, polynomials rings and irreducibility. Examples of universal properties are systematically introduced. Finite fields, cyclotomic polynomials, resultant and discriminant, are among the topics which are treated here.
An erratum to this chapter is available at doi: 10.1007/978-3-642-41269-1_3.
An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-3-642-41269-1_3
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Broué, M. (2014). Rings and Polynomial Algebras. In: Some Topics in Algebra. Mathematical Lectures from Peking University. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41269-1_1
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DOI: https://doi.org/10.1007/978-3-642-41269-1_1
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Online ISBN: 978-3-642-41269-1
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