On schemes for congruence distributivity

• Autorzy: I. Chajda , R. Halaš
• Języki publikacji: EN

Abstrakty

EN

We present diagrammatic schemes characterizing congruence 3-permutable and distributive algebras. We show that a congruence 3-permutable algebra is congruence meetsemidistributive if and only if it is distributive. We characterize varieties of algebras satisfying the so-called triangular scheme by means of a Maltsev-type condition.

Słowa kluczowe

EN

congruence distributivity; congruence 3-permutability; congruence n-permutability; diagrammatic scheme; the triangular scheme; 08A30; 08B10; 08B05

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 3
• Strony: 368-376

Daty

wydano

2004-06-01

online

2004-06-01

Twórcy

autor

I. Chajda

• Palacký University Olomouc

autor

R. Halaš

• Palacký University Olomouc

Bibliografia

• [1] I. Chajda: “A note on the triangular scheme”,East-West J. of Mathem., Vol. 3, (2001), pp. 79–80.
• [2] I. Chajda and E.K. Horváth: “A triangular scheme for congruence distributivity,”Acta Sci. Math. (Szeged), Vol. 68, (2002), pp. 29–35.
• [3] I. Chajda and E.K. Horváth: “A scheme for congruence semidistributivity”,Discuss. Math., General Algebra and Appl., Vol. 23, (2003), pp. 13–18.
• [4] I. Chajda, E.K. Horváth and G. Czédli: “Trapezoid Lemma and congruence distributivity”,Math. Slovaca, Vol. 53, (2003), pp. 247–253.
• [5] I. Chajda, E.K. Horváth and G. Czédli: “The Shifting Lemma and shifting lattice idetities”,Algebra Universalis, Vol. 50, (2003), pp. 51–60. http://dx.doi.org/10.1007/s00012-003-1808-2
• [6] H.-P. Gumm: “Geometrical methods in congruence modular algebras”,Mem. Amer. Math. Soc., Vol. 45, (1983), pp. viii-79.
• [7] B. Jónsson: “Algebras whose congruence lattices are distributive”,Math. Scand., Vol. 21, (1967), pp. 110–121.

Identyfikatory

DOI

10.2478/BF02475233