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

Czechoslovak Mathematical Journal (1981)

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

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topDalík, 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

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

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