A structure theorem for sets of lengths

Alfred Geroldinger

Colloquium Mathematicae (1998)

  • Volume: 78, Issue: 2, page 225-259
  • ISSN: 0010-1354

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Geroldinger, Alfred. "A structure theorem for sets of lengths." Colloquium Mathematicae 78.2 (1998): 225-259. <http://eudml.org/doc/210612>.

@article{Geroldinger1998,
author = {Geroldinger, Alfred},
journal = {Colloquium Mathematicae},
keywords = {lengths of factorization; monoids; sumsets; Krull domains},
language = {eng},
number = {2},
pages = {225-259},
title = {A structure theorem for sets of lengths},
url = {http://eudml.org/doc/210612},
volume = {78},
year = {1998},
}

TY - JOUR
AU - Geroldinger, Alfred
TI - A structure theorem for sets of lengths
JO - Colloquium Mathematicae
PY - 1998
VL - 78
IS - 2
SP - 225
EP - 259
LA - eng
KW - lengths of factorization; monoids; sumsets; Krull domains
UR - http://eudml.org/doc/210612
ER -

References

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  2. [A-M-Z] D. D. Anderson, J. L. Mott and M. Zafrullah, Finite character representations for integral domains, Boll. Un. Mat. Ital. B (7) 6 (1992), 613-630. Zbl0773.13004
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  14. [HK2] F. Halter-Koch, Finitely generated monoids, finitely primary monoids and factorization properties of integral domains, in: [An], 31-72. Zbl0882.13027
  15. [HK3] F. Halter-Koch, The integral closure of a finitely generated monoid and the Frobenius problem in higher dimensions, in: Semigroups, C. Bonzini, A. Cherubini and C. Tibiletti (eds.), World Scientific, 1993, 86-93. Zbl0818.20079
  16. [HK4] F. Halter-Koch, Finiteness theorems for factorizations, Semigroup Forum 44 (1992), 112-117. Zbl0751.20046
  17. [HK5] F. Halter-Koch, Divisor theories with primary elements and weakly Krull domains, Boll. Un. Mat. Ital. B (7) 9 (1995), 417-441. Zbl0849.20041
  18. [HK6] F. Halter-Koch, Elasticity of factorizations in atomic monoids and integral domains, J. Théor. Nombres Bordeaux 7 (1995), 367-385. Zbl0844.11068
  19. [Ka] F. Kainrath, Factorization in Krull monoids with infinite class group. Zbl0936.20050
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  23. [Wa] L. C. Washington, Introduction to Cyclotomic Fields, 2nd ed., Springer, 1997. Zbl0966.11047

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