Abstract
A local ring is a ring with just one maximal ideal. Ever since Krull’s paper [1938], local rings have occupied a central position in commutative algebra. The technique of localization reduces many problems in commutative algebra to problems about local rings. This often turns out to be extremely useful: Most of the problems with which commutative algebra has been successful are those that can be reduced to the local case.
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© 1995 Springer-Verlag New York, Inc.
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Eisenbud, D. (1995). Localization. In: Commutative Algebra. Graduate Texts in Mathematics, vol 150. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5350-1_4
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DOI: https://doi.org/10.1007/978-1-4612-5350-1_4
Publisher Name: Springer, New York, NY
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