Semiprime ideals in orthomodular lattices

Georges Chevalier

Commentationes Mathematicae Universitatis Carolinae (1988)

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

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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

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  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) 

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