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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Factorial domains

Author: Clifford S. Queen
Journal: Proc. Amer. Math. Soc. 124 (1996), 11-16
MSC (1991): Primary 13M15
MathSciNet review: 1283562
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Abstract | References | Similar Articles | Additional Information

Abstract: We give a simple characterization of factorial domains. We also characterize almost factorial domains and Krull domains with finite cyclic class group.

References [Enhancements On Off] (What's this?)

  • 1 Harvey Cohn, Advanced number theory, Dover Publications, Inc., New York, 1980. Reprint of A second course in number theory, 1962; Dover Books on Advanced Mathematics. MR 594936 (82b:12001)
  • 2 Robert M. Fossum, The divisor class group of a Krull domain, Springer-Verlag, New York-Heidelberg, 1973. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 74. MR 0382254 (52 #3139)
  • 3 A. Fröhlich and M. J. Taylor, Algebraic number theory, Cambridge Univ. Press, Cambridge, No. 27, 1993. CMP 93 11
  • 4 Helmut Hasse, Über eindeutige Zerlegung in Primelemente order in Primehuapideale in Integritatsbereichen J. Reine Angew. Math. 159 (1928).
  • 5 Gerald J. Janusz, Algebraic number fields, Academic Press [A Subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1973. Pure and Applied Mathematics, Vol. 55. MR 0366864 (51 #3110)
  • 6 Nathan Jacobson, Basic algebra. I, 2nd ed., W. H. Freeman and Company, New York, 1985. MR 780184 (86d:00001)
  • 7 Clifford S. Queen, Euclidean-like characterizations of Dedekind, Krull, and factorial domains, J. Number Theory 47 (1994), no. 3, 359–370. MR 1278404 (95f:13025),
  • 8 G. Rabinowitsch, Eindeutigkeit der Zerlegung in Primzahlfaktoren in quadrat ischen Zahlkörpern, J. Reine Angew. Math 142 (1913), 153--164.
  • 9 P. Samuel, Lectures on unique factorization domains, Notes by M. Pavman Murthy. Tata Institute of Fundamental Research Lectures on Mathematics, No. 30, Tata Institute of Fundamental Research, Bombay, 1964. MR 0214579 (35 #5428)

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Additional Information

Clifford S. Queen
Affiliation: Department of Mathematics, Christmas-Saucon Hall, Lehigh University, 14 E. Packer Avenue, Bethlehem, Pennsylvania 18015

PII: S 0002-9939(96)02969-3
Received by editor(s): February 18, 1994
Received by editor(s) in revised form: June 4, 1994
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1996 American Mathematical Society

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