Chaînes d'idéaux et de sections initiales d'un ensemble ordonné

Nejib Zaguia

Publications du Département de mathématiques (Lyon) (1983)

  • Issue: 7D, page 1-10
  • ISSN: 0076-1656

How to cite

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Zaguia, Nejib. "Chaînes d'idéaux et de sections initiales d'un ensemble ordonné." Publications du Département de mathématiques (Lyon) (1983): 1-10. <http://eudml.org/doc/273411>.

@article{Zaguia1983,
author = {Zaguia, Nejib},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {height of ordered sets; Krull dimensions; ideal chains},
language = {fre},
number = {7D},
pages = {1-10},
publisher = {Université Claude Bernard - Lyon 1},
title = {Chaînes d'idéaux et de sections initiales d'un ensemble ordonné},
url = {http://eudml.org/doc/273411},
year = {1983},
}

TY - JOUR
AU - Zaguia, Nejib
TI - Chaînes d'idéaux et de sections initiales d'un ensemble ordonné
JO - Publications du Département de mathématiques (Lyon)
PY - 1983
PB - Université Claude Bernard - Lyon 1
IS - 7D
SP - 1
EP - 10
LA - fre
KW - height of ordered sets; Krull dimensions; ideal chains
UR - http://eudml.org/doc/273411
ER -

References

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  1. [1]. R. BonnetOn the Cardinality of the Set of Initial Intervals (Coll. Mat-. Soc. J.Bolayi), Infinite and Finite Sets ; Kesztheley (1975) A.M.S. Pub. p.189-198. Zbl0321.06003MR369186
  2. [2]. R. Bonnet et M. PouzetLinear Extensions of Ordered Sets. Ordered Sets, I.RIVAL (ed.), p.125-170, (1982), D. Reidel, Dordrecht. Zbl0499.06002MR661293
  3. [3]. D.H.J. De Jongh et R. ParikhWell Partial Ordering and Hierarchies, Indagationes Mathematicae (1977), Vol.39, p.195-206. Zbl0435.06004MR447056
  4. [4]. D. Duffus - M. Pouzet et I. RivalComplete Ordered Sets with no Infinite Antichains, Discrete Mathematics, 35 (1981), p.39-52. Zbl0466.06002MR620664
  5. [5]. P. Gabriel et R. RentschlerSur la dimension des anneaux et ensembles ordonnés, C.R.A.S. Paris, 265 (1967), p.712-715. Zbl0155.36201MR224644
  6. [6]. R. LaverOn Fraissé's Order Type Conjecture, thèse Univ. de Californie (Berkeley), U.S.A. ou Annals of Math., Vol.93, n°1, (1971), p.89-111. Zbl0208.28905MR279005
  7. [7]. C.St.J.A. Nash-WilliamsOn Well Quasi Ordering Infinite Trees, Proc. Camb. Philos. Soc.61 (1965), p.697-720. Zbl0144.23305MR175814
  8. [8]. M. PouzetAlgèbre ordinale prémeilleur ordonnée, C.R.A.S., Paris, 270, (1970), p.300-303. Zbl0204.31403MR260626
  9. [9]. J.C. RobsonWell Quasi-Ordered Sets and Ideals in Free Semi-Groups and Algebras, Journal of Algebra, 55, (1978), p.521-535. Zbl0404.16010MR523472
  10. [10]. E.S. WolkPartially Well Ordered Sets and Partial Ordinals, Fund. Math.60, (1967), p.175-186. Zbl0153.02601MR209190

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