Natural generalization of some lattice theory concepts to partially ordered sets

Josef Niederle

Czechoslovak Mathematical Journal (1991)

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

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Niederle, 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

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

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