Abstract
In commutative algebra, localization is a construction that is almost as important as the formation of quotient structures. In this chapter we define localization and give the basic properties. In particular, we will see what localization does to the spectrum of a ring. Localization naturally leads to the topics of local rings and the height of an ideal, which will be dealt with here.
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© 2011 Springer-Verlag Berlin Heidelberg
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Kemper, G. (2011). Localization. In: A Course in Commutative Algebra. Graduate Texts in Mathematics, vol 256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03545-6_7
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DOI: https://doi.org/10.1007/978-3-642-03545-6_7
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03544-9
Online ISBN: 978-3-642-03545-6
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