Trapezoid lemma and congruence distributivity

Ivan Chajda; Gábor Czédli; Eszter K. Horváth

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 3, page 247-253
  • ISSN: 0232-0525

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Chajda, Ivan, Czédli, Gábor, and Horváth, Eszter K.. "Trapezoid lemma and congruence distributivity." Mathematica Slovaca 53.3 (2003): 247-253. <http://eudml.org/doc/32014>.

@article{Chajda2003,
author = {Chajda, Ivan, Czédli, Gábor, Horváth, Eszter K.},
journal = {Mathematica Slovaca},
keywords = {congruence distributivity; rectangular lemma; triangular lemma; trapezoid lemma},
language = {eng},
number = {3},
pages = {247-253},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Trapezoid lemma and congruence distributivity},
url = {http://eudml.org/doc/32014},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Chajda, Ivan
AU - Czédli, Gábor
AU - Horváth, Eszter K.
TI - Trapezoid lemma and congruence distributivity
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 3
SP - 247
EP - 253
LA - eng
KW - congruence distributivity; rectangular lemma; triangular lemma; trapezoid lemma
UR - http://eudml.org/doc/32014
ER -

References

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  1. CHAJDA L.-CZÉDLI G.- HORVÁTH E. K., Shifting lemma and shifting lattice identities, Algebra Universalis (To appear). MR2026828
  2. CHAJDA I.-GLAZEK K., A Basic Course on Algebra, Technical University Press, Zielona Góra, Poland, 2000. MR1783394
  3. CHAJDA I.-HORVÁTH E. K., A triangular scheme for congruence distributivity, Acta Sci. Math. (Szeged) 68 (2002), 29-35. Zbl0997.08001MR1916565
  4. CZÉDLI G.-HORVÁTH E. K., Congruence distributivity and modularity permit tolerances, Acta Univ. Palack. Olomouc. Fac. Rerum Natur. Math. 41 (2002), 39-42. Zbl1043.08002MR1967338
  5. CZÉDLI G.-HORVÁTH E. K., All congruence lattice identities implying modularity have Mal'tsev conditions, Algebra Universalis (To appear). Zbl1091.08007MR2026828
  6. DAY A., A characterization of modularity for congruence lattices of algebras, Canad. Math. Bull. 12 (1969), 167-173. (1969) Zbl0181.02302MR0248063
  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. (1970) Zbl0241.08004MR0265258
  10. FREESE R.-McKENZIE R., Commutator Theory for Congruence Modular Varieties, Cambridge Univ. Press, Cambridge, 1987. (1987) Zbl0636.08001MR0909290
  11. GUMM H. P., Geometrical methods in congruence modular algebras, Mem. Amer. Math. Soc 45 no. 286 (1983), viii+79. (1983) Zbl0547.08006MR0714648
  12. GUMM H. P., Congruence modularity is permutability composed with distributivity, Arch. Math. (Basel) 36 (1981), 569-576. (1981) Zbl0465.08005MR0629294
  13. JONSSON B., Algebras whose congruence lattices are distributive, Math. Scand. 21 (1967), 110-121. (1967) Zbl0167.28401MR0237402

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