On constructing a distributive lattice from a partially ordered set with DCC

David Andrew Smith

Commentationes Mathematicae Universitatis Carolinae (1968)

  • Volume: 009, Issue: 4, page 515-525
  • ISSN: 0010-2628

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Smith, David Andrew. "On constructing a distributive lattice from a partially ordered set with DCC." Commentationes Mathematicae Universitatis Carolinae 009.4 (1968): 515-525. <http://eudml.org/doc/16291>.

@article{Smith1968,
author = {Smith, David Andrew},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {ordered sets, lattices},
language = {eng},
number = {4},
pages = {515-525},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On constructing a distributive lattice from a partially ordered set with DCC},
url = {http://eudml.org/doc/16291},
volume = {009},
year = {1968},
}

TY - JOUR
AU - Smith, David Andrew
TI - On constructing a distributive lattice from a partially ordered set with DCC
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1968
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 009
IS - 4
SP - 515
EP - 525
LA - eng
KW - ordered sets, lattices
UR - http://eudml.org/doc/16291
ER -

References

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  1. Garrett BIRKHOFF, Lattice Theory, Second Ed., American Mathematical Society (Colloquium Publications, No. 25), 1958. (1958) 
  2. Garrett BIRKHOFF, Lattice Theory, Third Ed., same publisher, 1967. (1967) MR0227053
  3. Truman BOTTS, On lattice embeddings for partially ordered sets, Canad. J. Math. 6 (1954), 525-528. (1954) MR0067957
  4. R. P. DILWORTH, Peter CRAWLEY, Decomposition theory for lattices without chain conditions, Trans. Amer. Math. Soc. 96 (1960), 1-22. (1960) MR0118690
  5. Orin FRINK, Ideals in partially ordered sets, Amer. Math. Monthly 61 (1954), 223-234. (1954) MR0061575
  6. H. M. MacNEILLE, Partially ordered sets, Trans. Amer. Math. Soc. 42 (1937), 416-460. (1937) Zbl0017.33904MR1501929
  7. D. A. SMITH, Incidence functions as generalized arithmetic functions, II., Duke Math. J., to appear. Zbl0186.02003

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