Abstract
For the most part this chapter is a brief introduction to what is frequently called commutative algebra. We begin with chain conditions (Section 1) and prime ideals (Section 2), both of which play a central role in the study of commutative rings. Actually no commutativity restrictions are made in Section 1 since this material is also essential in the study of arbitrary rings (Chapter IX).
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© 1974 Springer-Verlag New York, Inc.
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Hungerford, T.W. (1974). Commutative Rings and Modules. In: Algebra. Graduate Texts in Mathematics, vol 73. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6101-8_9
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DOI: https://doi.org/10.1007/978-1-4612-6101-8_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6103-2
Online ISBN: 978-1-4612-6101-8
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