| Title:
|
Weakly atomic lattices with Stonean congruence lattice (English) |
| Author:
|
Radeleczki, Sándor |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
52 |
| Issue:
|
5 |
| Year:
|
2002 |
| Pages:
|
501-510 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06B05 |
| MSC:
|
06B10 |
| idZBL:
|
Zbl 1030.06003 |
| idMR:
|
MR1963440 |
| . |
| Date available:
|
2009-09-25T14:10:41Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136870 |
| . |
| Reference:
|
[1] CRAWLEY P.-DILWORTH R. P.: Algebraic Theory of Lattices.Prentice-Hall Inc., Englewood Cliffs, NJ, 1973. Zbl 0494.06001 |
| Reference:
|
[2] DILWORTH R. P.: The structure of relatively complemented lattices.Ann. of Math. (2) 51 (1950), 348-359. Zbl 0036.01802, MR 0033795 |
| Reference:
|
[3] GRATZER G.: General Lattice Theory.Birkhauser-Verlag, Bassel-Stuttgart, 1978. MR 0504338 |
| Reference:
|
[4] GRATZER G.-SCHMIDT E. T.: Ideals and congruence relations in lattices.Acta Math. Acad. Sci. Hungar. 9 (1958), 137-175. MR 0100560 |
| Reference:
|
[5] GRATZER G.-SCHMIDT E. T.: On congruence lattice of lattices.Acta Math. Acad. Sci. Hungar. 13 (1962), 179-185. MR 0139551 |
| Reference:
|
[6] FRINK O.: Pseudo-complements in semilattices.Duke Math. J. 29 (1962), 505-514. MR 0140449 |
| Reference:
|
[7] HAVIAR M.: Lattices whose congruence lattices satisfy Lee's identities.Demonstratio Math. 24 (1991), 247-261. Zbl 0771.06003, MR 1142893 |
| Reference:
|
[8] HAVIAR M.-KATRIŇÁK T.: Lattices whose congruence lattice is relative Stone.Acta Sci. Math. (Szeged) 51 (1987), 81-91. Zbl 0646.06005, MR 0911560 |
| Reference:
|
[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. MR 1143081 |
| Reference:
|
[10] IQBALUNNISA: On lattices whose lattices of congruences are Stone lattices.Fund. Math. 70 (1971), 315-318. Zbl 0218.06003, MR 0319830 |
| Reference:
|
[11] KATRIŇÁK T.: Notes on Stone lattices II.Mat. Časopis 17 (1967), 20-37. MR 0213268 |
| Reference:
|
[12] KATRIŇÁK T.: Eine Charakterisierung der fast schwach modularen Verbande.Math. Z. 114 (1970), 49-58. MR 0260634 |
| Reference:
|
[13] KATRIŇÁK T.-EL-ASSAR S.: Algebras with Boolean and Stonean congruence lattices.Acta Math. Hungar. 48 (1986), 301-316. Zbl 0618.08001, MR 0861848 |
| Reference:
|
[14] SCHMIDT E. T.: A Survey on Congruence Lattice Representation.Teubner-Texte Math. 42, Teubner, Leipzig, 1982. MR 0668704 |
| . |
