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Trapezoid Lemma and congruence distributivity

In: Mathematica Slovaca, vol. 53, no. 3
Ivan Chajda - Gábor Czédli - Ján Horváth
Detaily:
Rok, strany: 2003, 247 - 253
O článku:
Motivated by Gumm's (rectangular) Shifting Lemma, in our context a condition rather than a statement, and Shifting Principle, which play a key role in his treatment of congruence modularity and the theory of modular commutator, the present paper relates analogous triangular and trapezoid lemmas and principles to the distributivity of congruence lattices of single algebras and varieties. For varieties, the Trapezoid Lemma is equivalent to congruence distributivity. As a byproduct, congruence distributivity is characterized by a Mal'cev condition with a very clear connection with Day terms characterizing congruence modularity. Some results presented here were previously announced by J. Duda.
Ako citovať:
ISO 690:
Chajda, I., Czédli, G., Horváth, J. 2003. Trapezoid Lemma and congruence distributivity. In Mathematica Slovaca, vol. 53, no.3, pp. 247-253. 0139-9918.

APA:
Chajda, I., Czédli, G., Horváth, J. (2003). Trapezoid Lemma and congruence distributivity. Mathematica Slovaca, 53(3), 247-253. 0139-9918.