Geodesic
Semiregularity of congruences implies congruence modularity at 0
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 2, pp. 333-336.

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We introduce a weakened form of regularity, the so called semiregularity, and we show that if every diagonal subalgebra of $\mathcal A \times \mathcal A$ is semiregular then $\mathcal A$ is congruence modular at 0.
Classification : 08A30, 08B10
Keywords: regularity; modularity; semiregularity; modularity at 0 
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     author = {Chajda, Ivan},
     title = {Semiregularity of congruences implies congruence modularity at 0},
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     pages = {333--336},
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     url = {http://geodesic.mathdoc.fr/item/CMJ_2002__52_2_a8/}
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Chajda, Ivan. Semiregularity of congruences implies congruence modularity at 0. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 2, pp. 333-336. http://geodesic.mathdoc.fr/item/CMJ_2002__52_2_a8/