# Finite cyclic groups and the k-HFD property

Colloquium Mathematicae (1996)

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

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topChapman, 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

top- [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] L. Carlitz, A characterization of algebraic number fields with class number two, Proc. Amer. Math. Soc. 11 (1960), 391-392. Zbl0202.33101
- [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] 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] 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] 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] A. Geroldinger, Über nicht-eindeutige Zerlegungen in irreduzible Elemente, Math. Z. 197 (1988), 505-529.
- [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] 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] W. Narkiewicz, Finite abelian groups and factorization problems, Colloq. Math. 42 (1979), 319-330. Zbl0514.12004

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