The principal join property in demi-p-lattices

Cándida Palma

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 2, page 199-212
  • ISSN: 0139-9918

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Palma, Cándida. "The principal join property in demi-p-lattices." Mathematica Slovaca 56.2 (2006): 199-212. <http://eudml.org/doc/31760>.

@article{Palma2006,
author = {Palma, Cándida},
journal = {Mathematica Slovaca},
keywords = {semi-De Morgan algebra; demi-p-lattice; principal congruence},
language = {eng},
number = {2},
pages = {199-212},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The principal join property in demi-p-lattices},
url = {http://eudml.org/doc/31760},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Palma, Cándida
TI - The principal join property in demi-p-lattices
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 2
SP - 199
EP - 212
LA - eng
KW - semi-De Morgan algebra; demi-p-lattice; principal congruence
UR - http://eudml.org/doc/31760
ER -

References

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  1. ADAMS M. E.-BEAZER R., Congruence properties of distributive double p-algebras, Czechoslvak Math. J. 41 (1991), 216-231. (1991) Zbl0758.06008MR1105437
  2. ADAMS M. E., Principal congruences in De Morgan algebras, Proc. Edinburgh Math. Soc. (2) 30 (1987), 415-421. (1987) Zbl0595.06013MR0908448
  3. BALBES R.-DWINGER P., Distributive Lattices, University of Missouri Press, Columbia, MO, 1974. (1974) Zbl0321.06012MR0373985
  4. BEAZER R., Principal congruence properties of some algebras with pseudocomplementation, Portugal. Math. 50 (1993), 75-86. (1993) Zbl0801.06023MR1300587
  5. BEAZER R., Some p-algebras and double p-algebras having only principal congruences, Glasg. Math. J. 34 (1992), 157-164. (1992) Zbl0776.06008MR1167329
  6. BLYTH T. S.-VARLET J. C., Principal congruences on some lattice-ordered algebras, Discrete Math. 81 (1990), 323-329. (1990) Zbl0702.06011MR1054029
  7. CHAJDA I., A Maľcev condition for congruence principal permutable varieties, Algebra Universalis 19 (1984), 337-340. (1984) MR0779151
  8. CHAJDA I., Algebras whose principal congruences form a sublattice of the congruence lattice, Czechoslovak Math. J. 38(113) (1988), 585-588. (1988) Zbl0668.08003MR0962902
  9. DAVEY B. A.-PRIESTLEY H. A., Introduction to Lattices and Order, Cambridge University Press, Cambridge, 1990. (1990) Zbl0701.06001MR1058437
  10. GRÄTZER G., General Lattice Theory, Mathematische Reihe Bd. 52. Lehrbücher und Monographien aus dem Gebiete der Exakten Wissenschaften, Birkhäuser Verlag, Basel-Stuttgart, 1978. (1978) MR0504338
  11. HOBBY D., Semi-De Morgan algebras, Studia Logica 56 (1996), 150-183. (1996) Zbl0854.06010MR1382172
  12. PALMA C.-SANTOS R., On the subdirectly irreducible semi-De Morgan algebras, Publ. Math. Debrecen 49 (1996), 39-45. (1996) Zbl0868.06006MR1416303
  13. PALMA C.-SANTOS R., Principal congruences on Semi-De Morgan Algebras, Studia Logica67 (2001), 75-88. Zbl0981.06007MR1833654
  14. PRIESTLEY H. A., The construction of spaces dual to pseudocomplemented distributive lattices, Quart. J. Math. Oxford Ser. (2) 26 (1975), 215-228. (1975) Zbl0323.06013MR0392731
  15. SANKAPPANAVAR H. P., Semi-De Morgan algebras, J. Symbolic Logic 52 (1987), 712-724. (1987) Zbl0628.06011MR0902986
  16. SANKAPPANAVAR H. P., Demi-pseudocomplemented lattices: principal congruences and subdirectly irreducibility, Algebra Universalis 27 (1990), 180-193. (1990) MR1037861
  17. SANKAPPANAVAR H. P., Varieties of demi-pseudocomplemented lattices, Z. Math. Logik Grundlag. Math. 37 (1991), 411-420. (1991) Zbl0769.06007MR1270185

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