Chains of factorizations in orders of global fields

Alfred Geroldinger

Colloquium Mathematicae (1997)

  • Volume: 72, Issue: 1, page 83-102
  • ISSN: 0010-1354

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Geroldinger, Alfred. "Chains of factorizations in orders of global fields." Colloquium Mathematicae 72.1 (1997): 83-102. <http://eudml.org/doc/210457>.

@article{Geroldinger1997,
author = {Geroldinger, Alfred},
journal = {Colloquium Mathematicae},
keywords = {chains of factorizations; catenary degree; algebraic integers; multiplicities; Krull monoids},
language = {eng},
number = {1},
pages = {83-102},
title = {Chains of factorizations in orders of global fields},
url = {http://eudml.org/doc/210457},
volume = {72},
year = {1997},
}

TY - JOUR
AU - Geroldinger, Alfred
TI - Chains of factorizations in orders of global fields
JO - Colloquium Mathematicae
PY - 1997
VL - 72
IS - 1
SP - 83
EP - 102
LA - eng
KW - chains of factorizations; catenary degree; algebraic integers; multiplicities; Krull monoids
UR - http://eudml.org/doc/210457
ER -

References

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  1. [Ch] S. Chapman, On the Davenport constant, the Cross number, and their application in factorization theory, in: Zero-Dimensional Commutative Rings, Lecture Notes in Pure and Appl. Math. 171, Marcel Dekker, 1995, 167-190. Zbl0884.13009
  2. [Ge1] A. Geroldinger, Über nicht-eindeutige Zerlegungen in irreduzible Elemente, Math. Z. 197 (1988), 505-529. 
  3. [Ge2] A. Geroldinger, Factorizations of algebraic integers, in: Number Theory, Lecture Notes in Math. 1380, Springer, 1989, 63-74. 
  4. [Ge3] A. Geroldinger, Chains of factorizations in weakly Krull domains, this volume, 53-81. Zbl0874.13001
  5. [G-HK-K] A. Geroldinger, F. Halter-Koch and J. Kaczorowski, Non-unique factorizations in orders of global fields, J. Reine Angew. Math. 459 (1995), 89-118. Zbl0812.11061
  6. [La] S. Lang, Algebraic Number Theory, Grad. Texts in Math. 110, Springer, 1986. 
  7. [Na] W. Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers, Springer, 1990. Zbl0717.11045
  8. [Ne] J. Neukirch, Algebraische Zahlentheorie, Springer, 1992. 

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