### Cardinality estimates for piecewise congruences of convex polygons.

Richter, Christian (2009)

Beiträge zur Algebra und Geometrie

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Richter, Christian (2009)

Beiträge zur Algebra und Geometrie

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Czechoslovak Mathematical Journal

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Czechoslovak Mathematical Journal

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Discussiones Mathematicae - General Algebra and Applications

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We present a countable infinite chain of conditions which are essentially weaker then congruence modularity (with exception of first two). For varieties of algebras, the third of these conditions, the so called 4-submodularity, is equivalent to congruence modularity. This is not true for single algebras in general. These conditions are characterized by Maltsev type conditions.