# On schemes for congruence distributivity

Open Mathematics (2004)

- Volume: 2, Issue: 3, page 368-376
- ISSN: 2391-5455

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topI. Chajda, and R. Halaš. "On schemes for congruence distributivity." Open Mathematics 2.3 (2004): 368-376. <http://eudml.org/doc/268712>.

@article{I2004,

abstract = {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.},

author = {I. Chajda, R. Halaš},

journal = {Open Mathematics},

keywords = {08A30; 08B10; 08B05},

language = {eng},

number = {3},

pages = {368-376},

title = {On schemes for congruence distributivity},

url = {http://eudml.org/doc/268712},

volume = {2},

year = {2004},

}

TY - JOUR

AU - I. Chajda

AU - R. Halaš

TI - On schemes for congruence distributivity

JO - Open Mathematics

PY - 2004

VL - 2

IS - 3

SP - 368

EP - 376

AB - 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.

LA - eng

KW - 08A30; 08B10; 08B05

UR - http://eudml.org/doc/268712

ER -

## References

top- [1] I. Chajda: “A note on the triangular scheme”,East-West J. of Mathem., Vol. 3, (2001), pp. 79–80. Zbl1007.08002
- [2] I. Chajda and E.K. Horváth: “A triangular scheme for congruence distributivity,”Acta Sci. Math. (Szeged), Vol. 68, (2002), pp. 29–35. Zbl0997.08001
- [3] I. Chajda and E.K. Horváth: “A scheme for congruence semidistributivity”,Discuss. Math., General Algebra and Appl., Vol. 23, (2003), pp. 13–18. Zbl1057.08001
- [4] I. Chajda, E.K. Horváth and G. Czédli: “Trapezoid Lemma and congruence distributivity”,Math. Slovaca, Vol. 53, (2003), pp. 247–253. Zbl1058.08007
- [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 Zbl1091.08006
- [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. Zbl0167.28401

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