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Non-Noetherian Commutative Ring Theory

by Scott T. Chapman

  • ISBN: 9780792364924
  • ISBN10: 0792364929

Non-Noetherian Commutative Ring Theory

by Scott T. Chapman

  • List Price: $289.00
  • Binding: Hardcover
  • Publisher: Kluwer Academic Pub
  • Publish date: 10/01/2000
  • ISBN: 9780792364924
  • ISBN10: 0792364929
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Description: 1 GCD Domains, Gauss' Lemma, and Contents of Polynomials.- 2 The Class Group and Local Class Group of an Integral Domain.- 3 Mori Domains.- 4 What's New About Integer-Valued Polynomials on a Subset?.- 5 Half-Factorial Domains, a Survey.- 6 On Generalized Lengths of Factorizations in Dedekind and Krull Domains.- 7 Recent Progress on Going-Down I.- 8 Localizing Systems and Semistar Operations.- 9 Ideal Theory in Pullbacks.- 10 Commutative Rings of Dimension 0.- 11 Finite Conductor Rings with Zero Divisors.- 12 Construction of Ideal Systems with Nice Noetherian Properties.- 13 Generalized Local Rings and Finite Generation of Powers of Ideals.- 14 Connecting Trace Properties.- 15 Constructing Examples of Integral Domains by Intersecting Valuation Domains.- 16 Examples Built With D+M, A+XB[X] and Other Pullback Constructions.- 17 T-Closedness.- 18 E-rings and Related Structures.- 19 Prime Ideals and Decompositions of Modules.- 20 Putting t-Invertibility to Use.- 21 One Hundred Problems in Commutative Ring Theory.
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