Geodesic
Trapezoid lemma and congruence distributivity
Mathematica slovaca, Tome 53 (2003) no. 3, pp. 247-253
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 08B05, 08B10 
@article{MASLO_2003_53_3_a2,
     author = {Chajda, Ivan and Cz\'edli, G\'abor and Horv\'ath, Eszter K.},
     title = {Trapezoid lemma and congruence distributivity},
     journal = {Mathematica slovaca},
     pages = {247--253},
     year = {2003},
     volume = {53},
     number = {3},
     mrnumber = {2025021},
     zbl = {1058.08007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2003_53_3_a2/}
}
TY  - JOUR
AU  - Chajda, Ivan
AU  - Czédli, Gábor
AU  - Horváth, Eszter K.
TI  - Trapezoid lemma and congruence distributivity
JO  - Mathematica slovaca
PY  - 2003
SP  - 247
EP  - 253
VL  - 53
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MASLO_2003_53_3_a2/
LA  - en
ID  - MASLO_2003_53_3_a2
ER  - 
%0 Journal Article
%A Chajda, Ivan
%A Czédli, Gábor
%A Horváth, Eszter K.
%T Trapezoid lemma and congruence distributivity
%J Mathematica slovaca
%D 2003
%P 247-253
%V 53
%N 3
%U http://geodesic.mathdoc.fr/item/MASLO_2003_53_3_a2/
%G en
%F MASLO_2003_53_3_a2
Chajda, Ivan; Czédli, Gábor; Horváth, Eszter K. Trapezoid lemma and congruence distributivity. Mathematica slovaca, Tome 53 (2003) no. 3, pp. 247-253. http://geodesic.mathdoc.fr/item/MASLO_2003_53_3_a2/

[1] CHAJDA L.-CZÉDLI G.- HORVÁTH E. K.: Shifting lemma and shifting lattice identities. Algebra Universalis (To appear). | MR

[2] CHAJDA I.-GLAZEK K.: A Basic Course on Algebra. Technical University Press, Zielona Góra, Poland, 2000. | MR

[3] CHAJDA I.-HORVÁTH E. K.: A triangular scheme for congruence distributivity. Acta Sci. Math. (Szeged) 68 (2002), 29-35. | MR | Zbl

[4] CZÉDLI G.-HORVÁTH E. K.: Congruence distributivity and modularity permit tolerances. Acta Univ. Palack. Olomouc. Fac. Rerum Natur. Math. 41 (2002), 39-42. | MR | Zbl

[5] CZÉDLI G.-HORVÁTH E. K.: All congruence lattice identities implying modularity have Mal'tsev conditions. Algebra Universalis (To appear). | MR | Zbl

[6] DAY A.: A characterization of modularity for congruence lattices of algebras. Canad. Math. Bull. 12 (1969), 167-173. | MR | Zbl

[7] DUDA J.: The Upright Principle for congruence distributive varieties. Abstract of a seminar lecture presented in Brno, March, 2000.

[8] DUDA J.: The Triangular Principle for congruence distributive varieties. Abstract of a seminar lecture presented in Brno, March, 2000.

[9] FRASER G. A.-HORN A.: Congruence relations in direct products. Proc Amer. Math. Soc 26 (1970), 390-394. | MR | Zbl

[10] FREESE R.-McKENZIE R.: Commutator Theory for Congruence Modular Varieties. Cambridge Univ. Press, Cambridge, 1987. | MR | Zbl

[11] GUMM H. P.: Geometrical methods in congruence modular algebras. Mem. Amer. Math. Soc 45 no. 286 (1983), viii+79. | MR | Zbl

[12] GUMM H. P.: Congruence modularity is permutability composed with distributivity. Arch. Math. (Basel) 36 (1981), 569-576. | MR | Zbl

[13] JONSSON B.: Algebras whose congruence lattices are distributive. Math. Scand. 21 (1967), 110-121. | MR | Zbl