47
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

GCD-Sets in Integral Domains. II

&
Pages 2203-2214 | Received 01 Jun 2002, Published online: 18 Aug 2006

References

  • Anderson , D. F. 2000 . “ The class group and local class group of an integral domain ” . In Non-Noetherian Ring Theory , Math. Appl. 33 – 55 . Dordrecht : Kluwer Acad. Publ. .
  • Anderson , D. D. and Anderson , D. F. 1988 . Some remarks on star operations and the class group . J. Pure Appl. Algebra , 51 : 27 – 33 .
  • Anderson , D. F. and Ryckaert , A. 1988 . The class group of D + M . J. Pure Appl. Algebra , 52 : 199 – 212 . [CROSSREF]
  • Anderson , D. D. and Zafrullah , M. 1997 . “ On t-invertibility, IV ” . In Factorization in Integral Domains , Lecture Notes in Pure and Appl. Math. 189 221 – 225 . Marcel Dekker .
  • Anderson , D. D. , Anderson , D. F. and Park , J. 1999 . GCD-sets in integral domains . Houston J. Math. , 25 : 15 – 34 .
  • Bouvier , A. 1982 . Le groupe des classes d'un anneau intégré. 107ème Congres des Sociétés Savantes, Brest, fasc. IV, 85–92
  • Chang , G. W. 2002 . A pinched-Krull domain at a prime ideal . Comm. Algebra , 30 : 3669 – 3686 . [CROSSREF]
  • Fossum , R. 1973 . The Divisor Class Group of a Krull Domain New York : Springer-Verlag .
  • Gabelli , S. 1987 . On divisorial ideals in polynomial rings over Mori domains . Comm. Algebra , 15 : 2349 – 2370 .
  • Gilmer , R. 1972 . Multiplicative Ideal Theory New York : Dekker .
  • Gilmer , R. 1984 . Commutative Semigroup Rings Chicago : University of Chicago Press .
  • Gilmer , R. , Heinzer , W. and Smith , W. W. 1996 . On the distribution of prime ideals within the ideal class group . Houston J. Math. , 22 : 51 – 59 .
  • Griffin , M. 1967 . Some results on v-multiplication rings . Canad. Math. J. , 19 : 710 – 722 .
  • Houston , E. and Zafrullah , M. 1989 . On t-invertibility, II . Comm. Algebra , 17 : 1955 – 1969 .
  • Huckaba , J. 1988 . Commutative Ring with Zero Divisors New York : Marcel Dekker .
  • Kaczorowski , J. 1981 . A pure arithmetical characterization for certain fields with a given class group . Colloq. Math. , 45 : 327 – 330 .
  • Kang , B. G. 1989 . Prüfer v-multiplication domains and the ring . J. Algebra , 123 : 151 – 170 .
  • Kaplansky , I. 1974 . Commutative Rings , Revised ed. University of Chicago Press .
  • #Communicated by S. Wiegand.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.