Title:
|
Trapezoid lemma and congruence distributivity (English) |
Author:
|
Chajda, Ivan |
Author:
|
Czédli, Gábor |
Author:
|
Horváth, Eszter K. |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
53 |
Issue:
|
3 |
Year:
|
2003 |
Pages:
|
247-253 |
. |
Category:
|
math |
. |
MSC:
|
08B05 |
MSC:
|
08B10 |
idZBL:
|
Zbl 1058.08007 |
idMR:
|
MR2025021 |
. |
Date available:
|
2009-09-25T14:14:42Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130492 |
. |
Reference:
|
[1] CHAJDA L.-CZÉDLI G.- HORVÁTH E. K.: Shifting lemma and shifting lattice identities.Algebra Universalis (To appear). MR 2026828 |
Reference:
|
[2] CHAJDA I.-GLAZEK K.: A Basic Course on Algebra.Technical University Press, Zielona Góra, Poland, 2000. MR 1783394 |
Reference:
|
[3] CHAJDA I.-HORVÁTH E. K.: A triangular scheme for congruence distributivity.Acta Sci. Math. (Szeged) 68 (2002), 29-35. Zbl 0997.08001, MR 1916565 |
Reference:
|
[4] CZÉDLI G.-HORVÁTH E. K.: Congruence distributivity and modularity permit tolerances.Acta Univ. Palack. Olomouc. Fac. Rerum Natur. Math. 41 (2002), 39-42. Zbl 1043.08002, MR 1967338 |
Reference:
|
[5] CZÉDLI G.-HORVÁTH E. K.: All congruence lattice identities implying modularity have Mal'tsev conditions.Algebra Universalis (To appear). Zbl 1091.08007, MR 2026828 |
Reference:
|
[6] DAY A.: A characterization of modularity for congruence lattices of algebras.Canad. Math. Bull. 12 (1969), 167-173. Zbl 0181.02302, MR 0248063 |
Reference:
|
[7] DUDA J.: The Upright Principle for congruence distributive varieties.Abstract of a seminar lecture presented in Brno, March, 2000. |
Reference:
|
[8] DUDA J.: The Triangular Principle for congruence distributive varieties.Abstract of a seminar lecture presented in Brno, March, 2000. |
Reference:
|
[9] FRASER G. A.-HORN A.: Congruence relations in direct products.Proc Amer. Math. Soc 26 (1970), 390-394. Zbl 0241.08004, MR 0265258 |
Reference:
|
[10] FREESE R.-McKENZIE R.: Commutator Theory for Congruence Modular Varieties.Cambridge Univ. Press, Cambridge, 1987. Zbl 0636.08001, MR 0909290 |
Reference:
|
[11] GUMM H. P.: Geometrical methods in congruence modular algebras.Mem. Amer. Math. Soc 45 no. 286 (1983), viii+79. Zbl 0547.08006, MR 0714648 |
Reference:
|
[12] GUMM H. P.: Congruence modularity is permutability composed with distributivity.Arch. Math. (Basel) 36 (1981), 569-576. Zbl 0465.08005, MR 0629294 |
Reference:
|
[13] JONSSON B.: Algebras whose congruence lattices are distributive.Math. Scand. 21 (1967), 110-121. Zbl 0167.28401, MR 0237402 |
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