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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.