# Natural generalization of some lattice theory concepts to partially ordered sets

Czechoslovak Mathematical Journal (1991)

- Volume: 41, Issue: 2, page 297-299
- ISSN: 0011-4642

## Access Full Article

top## How to cite

topNiederle, Josef. "Natural generalization of some lattice theory concepts to partially ordered sets." Czechoslovak Mathematical Journal 41.2 (1991): 297-299. <http://eudml.org/doc/13928>.

@article{Niederle1991,

author = {Niederle, Josef},

journal = {Czechoslovak Mathematical Journal},

keywords = {dense subset; irreducible element; compact element; Noetherian ordered set; upper complete},

language = {eng},

number = {2},

pages = {297-299},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Natural generalization of some lattice theory concepts to partially ordered sets},

url = {http://eudml.org/doc/13928},

volume = {41},

year = {1991},

}

TY - JOUR

AU - Niederle, Josef

TI - Natural generalization of some lattice theory concepts to partially ordered sets

JO - Czechoslovak Mathematical Journal

PY - 1991

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 41

IS - 2

SP - 297

EP - 299

LA - eng

KW - dense subset; irreducible element; compact element; Noetherian ordered set; upper complete

UR - http://eudml.org/doc/13928

ER -

## References

top- G. Birkhoff, Lattice Theory, 3d edition. American Mathematical Society, Providence 1979. (1979) Zbl0505.06001MR0598630
- P. Crawley, R. P. Dilworth, Algebraic Theory of Lattices, Prentice-Hall, Englewood Cliffs 1973. (1973) Zbl0494.06001
- J. Niederle, Completely meet-irreducible tolerances in distributive Noetherian lattices, Czech. Math. J. 39 (1989), 348-349. (1989) Zbl0682.06010MR0992138
- J. Niederle, On completely meet-irreducible elements in compactly generated lattices, Czech. Math. J. 39 (1989), 500-501. (1989) Zbl0688.06008MR1006315

## NotesEmbed ?

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