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Open Mathematics

formerly Central European Journal of Mathematics

Editor-in-Chief: Gianazza, Ugo / Vespri, Vincenzo

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Volume 2, Issue 3


Volume 13 (2015)

On schemes for congruence distributivity

I. Chajda / R. Halaš
Published Online: 2004-06-01 | DOI: https://doi.org/10.2478/BF02475233


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.

Keywords: congruence distributivity; congruence 3-permutability; congruence n-permutability; diagrammatic scheme; the triangular scheme

Keywords: 08A30; 08B10; 08B05

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About the article

Published Online: 2004-06-01

Published in Print: 2004-06-01

Citation Information: Open Mathematics, Volume 2, Issue 3, Pages 368–376, ISSN (Online) 2391-5455, DOI: https://doi.org/10.2478/BF02475233.

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© 2004 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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