Characterizations of certain classes of posets having Gs-lattices of a relatively small size

Josef Dalík

Czechoslovak Mathematical Journal (1981)

  • Volume: 31, Issue: 3, page 433-450
  • ISSN: 0011-4642

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Dalík, Josef. "Characterizations of certain classes of posets having Gs-lattices of a relatively small size." Czechoslovak Mathematical Journal 31.3 (1981): 433-450. <http://eudml.org/doc/13272>.

@article{Dalík1981,
author = {Dalík, Josef},
journal = {Czechoslovak Mathematical Journal},
keywords = {principal initial segments; gs-lattice; complete lattice of generating systems; complemented lattice; ordinally indecomposable poset; ascending chain condition; sigma-dense completions; completions of posets},
language = {eng},
number = {3},
pages = {433-450},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Characterizations of certain classes of posets having Gs-lattices of a relatively small size},
url = {http://eudml.org/doc/13272},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Dalík, Josef
TI - Characterizations of certain classes of posets having Gs-lattices of a relatively small size
JO - Czechoslovak Mathematical Journal
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 3
SP - 433
EP - 450
LA - eng
KW - principal initial segments; gs-lattice; complete lattice of generating systems; complemented lattice; ordinally indecomposable poset; ascending chain condition; sigma-dense completions; completions of posets
UR - http://eudml.org/doc/13272
ER -

References

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  1. P. Crawley, R. P. Dilworth, Algebraic theory of lattices, Prentice-Hall, New Jersey, 1973. (1973) Zbl0494.06001
  2. N. Funayama, 10.2748/tmj/1178245008, Tohoku Math. Journal 8, N1 (1956), 54-62. (1956) Zbl0072.02102MR0080075DOI10.2748/tmj/1178245008
  3. D. Scott, R. Solovay, Boolean-valued models of set theory, Proc. of Symp. in Pure Math. 13, II, AMS, Providence R.I., 1971. (1971) 
  4. A. Tarski, Ordinal algebras, North-Holland Amsterdam, 1956. (1956) Zbl0072.00201MR0082935
  5. J. Dalík, An embedding problem and its application in linguistics, Arch. Math. (Brno) 3, XIV (1978), 123-138. (1978) MR0521193
  6. J. Dalík, Lattices of generating systems, Arch. Math. (Brno) 3, ХVI (1980), 137-152. (1980) MR0594459
  7. J. Schmidt, Kennzeichnung der Dedekind-MacNeilleschen Hülle einer geordneten Menge, Archiv der Math. (Basel), 1960. (1960) 

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