Semiprime ideals in orthomodular lattices

Georges Chevalier

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 2, page 379-386
  • ISSN: 0010-2628

How to cite

top

Chevalier, Georges. "Semiprime ideals in orthomodular lattices." Commentationes Mathematicae Universitatis Carolinae 029.2 (1988): 379-386. <http://eudml.org/doc/17645>.

@article{Chevalier1988,
author = {Chevalier, Georges},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {commutator ideal; orthomodular ideal; semiprime ideal; orthomodular lattices; distributivity; congruence relations},
language = {eng},
number = {2},
pages = {379-386},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Semiprime ideals in orthomodular lattices},
url = {http://eudml.org/doc/17645},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Chevalier, Georges
TI - Semiprime ideals in orthomodular lattices
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 2
SP - 379
EP - 386
LA - eng
KW - commutator ideal; orthomodular ideal; semiprime ideal; orthomodular lattices; distributivity; congruence relations
UR - http://eudml.org/doc/17645
ER -

References

top
  1. L. Beran, Orthomodular lattices (Algebraic approach), D. Reidel Publishing Company, Dordrecht - Boston, 1985. (1985) Zbl0558.06008MR0784029
  2. L. Beran, Distributivity in finitely generated orthomodular lattices, Commentationes Mathematicae Universitatis Carolinae, 28, 3, p.433-435, 1987. (1987) Zbl0624.06008MR0912572
  3. T. S. Blyth M. F. Janowitz, Residuation theory, Pergamon Press, Oxford, 1972. (1972) MR0396359
  4. G. Chevalier, Relations binaires et congruences dans un treillis orthomodulaire, C.R. Acad. Paris, t 286, serie 1, p. 785-788, 1983. (1983) Zbl0528.06011MR0711831
  5. P. D. Finch, Congruence relations in orthomodular lattices, J. Austral. Math. Soc, 6, p. 46-54, 1966. (1966) MR0197369
  6. E. L. Marsden, Jr., The commutator and solvability in a generalized orthomodular lattice, Pac. J. Math., Vol. 33, N° 2, p. 357-361, 1970. (1970) Zbl0234.06004MR0263712
  7. S. Pulmannová, Commutators in orthomodular lattices, Demonstratio Mathematica, Vol XVIII, N° 1, p. 187-208, 1985. (1985) MR0816029
  8. Y. Rav, Prime separations and semiprime ideal in lattices under minimal set-theoretical assumptions, Prépublications de l'Université de Paris-Sud 86T11, 1986. (1986) 

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.