Finite cyclic groups and the k-HFD property

Scott Chapman; William Smith

Colloquium Mathematicae (1996)

  • Volume: 70, Issue: 2, page 219-226
  • ISSN: 0010-1354

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Chapman, Scott, and Smith, William. "Finite cyclic groups and the k-HFD property." Colloquium Mathematicae 70.2 (1996): 219-226. <http://eudml.org/doc/210407>.

@article{Chapman1996,
author = {Chapman, Scott, Smith, William},
journal = {Colloquium Mathematicae},
keywords = {half-factorial domain; Krull domain; divisor class group},
language = {eng},
number = {2},
pages = {219-226},
title = {Finite cyclic groups and the k-HFD property},
url = {http://eudml.org/doc/210407},
volume = {70},
year = {1996},
}

TY - JOUR
AU - Chapman, Scott
AU - Smith, William
TI - Finite cyclic groups and the k-HFD property
JO - Colloquium Mathematicae
PY - 1996
VL - 70
IS - 2
SP - 219
EP - 226
LA - eng
KW - half-factorial domain; Krull domain; divisor class group
UR - http://eudml.org/doc/210407
ER -

References

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  1. [1] D. F. Anderson, S. T. Chapman and W. W. Smith, Some factorization properties of Krull domains with infinite cyclic divisor class group, J. Pure Appl. Algebra 96 (1994), 97-112. Zbl0831.13001
  2. [2] L. Carlitz, A characterization of algebraic number fields with class number two, Proc. Amer. Math. Soc. 11 (1960), 391-392. Zbl0202.33101
  3. [3] S. T. Chapman, The davenport constant, the cross number, and their application in factorization theory, in: Zero-Dimensional Commutative Rings, Marcel Dekker, New York, 1995, 167-190. Zbl0884.13009
  4. [4] S. T. Chapman and W. W. Smith, Factorization in Dedekind domains with finite class group, Israel J. Math. 71 (1990), 65-95. Zbl0717.13014
  5. [5] S. T. Chapman and W. W. Smith, On the HFD, CHFD, and k-HFD properties in Dedekind domains, Comm. Algebra 20 (1992), 1955-1987. Zbl0761.13010
  6. [6] S. T. Chapman and W. W. Smith, On the k-HFD property in Dedekind domains with small class group, Mathematika 39 (1992), 330-340. Zbl0757.13007
  7. [7] A. Geroldinger, Über nicht-eindeutige Zerlegungen in irreduzible Elemente, Math. Z. 197 (1988), 505-529. 
  8. [8] A. Geroldinger and F. Halter-Koch, Non-unique factorizations in block semigroups and arithmetical applications, Math. Slovaca 42 (1992), 641-661. Zbl0765.11045
  9. [9] U. Krause and C. Zahlten, Arithmetic in Krull monoids and the cross number of divisor class groups, Mitt. Math. Ges. Hamburg 12 (1991), 681-696. Zbl0756.20010
  10. [10] W. Narkiewicz, Finite abelian groups and factorization problems, Colloq. Math. 42 (1979), 319-330. Zbl0514.12004

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