# Differences

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congruence_modular [2010/08/20 20:05] jipsen created |
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Congruence modularity holds for many 'classical' varieties such as groups and rings. | Congruence modularity holds for many 'classical' varieties such as groups and rings. | ||

- | A Mal'cev condition (with 4-ary terms) for congruence modularity is given by [(Alan Day, \emph{A characterization of modularity for congruence lattices of algebras.}, | + | A Mal'cev condition (with 4-ary terms) for congruence modularity is given by Alan Day, \emph{A characterization of modularity for congruence lattices of algebras.}, |

- | Canad. Math. Bull., \textbf{12}, 1969, 167-173 [[http://www.ams.org/mathscinet-getitem?mr=40:1317|MRreview]])] | + | Canad. Math. Bull., \textbf{12}, 1969, 167-173 [[http://www.ams.org/mathscinet-getitem?mr=40:1317|MRreview]] |

- | Another Mal'cev condition (with ternary terms) for congruence modularity is given by [(H.-Peter Gumm, \emph{Congruence modularity is permutability composed with distributivity}, | + | Another Mal'cev condition (with ternary terms) for congruence modularity is given by H.-Peter Gumm, \emph{Congruence modularity is permutability composed with distributivity}, |

- | Arch. Math. (Basel), \textbf{36}, 1981, 569-576 [[http://www.ams.org/mathscinet-getitem?mr=82j:08009|MRreview]])] | + | Arch. Math. (Basel), \textbf{36}, 1981, 569-576 [[http://www.ams.org/mathscinet-getitem?mr=82j:08009|MRreview]] |

- | Several further characterizations are given in [(Steven T. Tschantz, \emph{More conditions equivalent to congruence modularity}, | + | Several further characterizations are given by Steven T. Tschantz, \emph{More conditions equivalent to congruence modularity}, |

Universal algebra and lattice theory (Charleston, S.C., 1984), | Universal algebra and lattice theory (Charleston, S.C., 1984), | ||

Lecture Notes in Math. | Lecture Notes in Math. | ||

- | \textbf{1149}, 1985, 270-282, [[http://www.ams.org/mathscinet-getitem?mr=87e:08009|MRreview]])] | + | \textbf{1149}, 1985, 270-282, [[http://www.ams.org/mathscinet-getitem?mr=87e:08009|MRreview]] |

=== Properties that imply congruence modularity === | === Properties that imply congruence modularity === |

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