Weakly atomic lattices with Stonean congruence lattice

Sándor Radelecki

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 5, page 501-510
  • ISSN: 0139-9918

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Radelecki, Sándor. "Weakly atomic lattices with Stonean congruence lattice." Mathematica Slovaca 52.5 (2002): 501-510. <http://eudml.org/doc/34562>.

@article{Radelecki2002,
author = {Radelecki, Sándor},
journal = {Mathematica Slovaca},
keywords = {almost weakly modular lattice; Stone lattice; separable congruence; weakly atomic lattices},
language = {eng},
number = {5},
pages = {501-510},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Weakly atomic lattices with Stonean congruence lattice},
url = {http://eudml.org/doc/34562},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Radelecki, Sándor
TI - Weakly atomic lattices with Stonean congruence lattice
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 5
SP - 501
EP - 510
LA - eng
KW - almost weakly modular lattice; Stone lattice; separable congruence; weakly atomic lattices
UR - http://eudml.org/doc/34562
ER -

References

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  2. DILWORTH R. P., The structure of relatively complemented lattices, Ann. of Math. (2) 51 (1950), 348-359. (1950) Zbl0036.01802MR0033795
  3. GRATZER G., General Lattice Theory, Birkhauser-Verlag, Bassel-Stuttgart, 1978. (1978) MR0504338
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  6. FRINK O., Pseudo-complements in semilattices, Duke Math. J. 29 (1962), 505-514. (1962) MR0140449
  7. HAVIAR M., Lattices whose congruence lattices satisfy Lee's identities, Demonstratio Math. 24 (1991), 247-261. (1991) Zbl0771.06003MR1142893
  8. HAVIAR M.-KATRIŇÁK T., Lattices whose congruence lattice is relative Stone, Acta Sci. Math. (Szeged) 51 (1987), 81-91. (1987) Zbl0646.06005MR0911560
  9. HAVIAR M.-KATRIŇÁK T., Semi-discrete lattices with ( L n ) -congruence lattices, In: Contrib. General Algebra 7, Verlag Holder-Pichler-Tempsky, Wien, 1991, pp. 189-195. (1991) MR1143081
  10. IQBALUNNISA, On lattices whose lattices of congruences are Stone lattices, Fund. Math. 70 (1971), 315-318. (1971) Zbl0218.06003MR0319830
  11. KATRIŇÁK T., Notes on Stone lattices II, Mat. Časopis 17 (1967), 20-37. (1967) MR0213268
  12. KATRIŇÁK T., Eine Charakterisierung der fast schwach modularen Verbande, Math. Z. 114 (1970), 49-58. (1970) MR0260634
  13. KATRIŇÁK T.-EL-ASSAR S., Algebras with Boolean and Stonean congruence lattices, Acta Math. Hungar. 48 (1986), 301-316. (1986) Zbl0618.08001MR0861848
  14. SCHMIDT E. T., A Survey on Congruence Lattice Representation, Teubner-Texte Math. 42, Teubner, Leipzig, 1982. (1982) MR0668704

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