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GCD Domains, Gauss’ Lemma, and Contents of Polynomials

  • D. D. Anderson
Part of the Mathematics and Its Applications book series (MAIA, volume 520)

Abstract

The purpose of this article is to survey the work done on GCD domains and their generalizations. While the best known examples of GCD domains are UFD’s and Bezout domains, we concentrate on GCD domains that are not UFD’s or Bezout domains as there is already an extensive literature on UFD’s and Bezout domains including survey articles [44], [100] and books [98] and [53]. Among the generalizations of GCD domains surveyed are Schreier domains, Prüfer υ-multiplication domains (PVMD’s) and general­ized GCD domains (G-GCD domains).

Keywords

Prime Ideal Integral Domain Finite Type Valuation Domain Quotient Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • D. D. Anderson
    • 1
  1. 1.Department of MathematicsThe University of IowaIowa CityUSA

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