| 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 | 
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| Category: | math | 
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| MSC: | 08B05 | 
| MSC: | 08B10 | 
| idZBL: | Zbl 1058.08007 | 
| idMR: | MR2025021 | 
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| Date available: | 2009-09-25T14:14:42Z | 
| Last updated: | 2012-08-01 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/130492 | 
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| 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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