Semiregularity of congruences implies congruence modularity at 0

Ivan Chajda

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 2, page 333-336
  • ISSN: 0011-4642

Abstract

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We introduce a weakened form of regularity, the so called semiregularity, and we show that if every diagonal subalgebra of 𝒜 × 𝒜 is semiregular then 𝒜 is congruence modular at 0.

How to cite

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Chajda, Ivan. "Semiregularity of congruences implies congruence modularity at 0." Czechoslovak Mathematical Journal 52.2 (2002): 333-336. <http://eudml.org/doc/30703>.

@article{Chajda2002,
abstract = {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.},
author = {Chajda, Ivan},
journal = {Czechoslovak Mathematical Journal},
keywords = {regularity; modularity; semiregularity; modularity at 0; regularity; modularity; semiregularity; congruence modularity at 0},
language = {eng},
number = {2},
pages = {333-336},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Semiregularity of congruences implies congruence modularity at 0},
url = {http://eudml.org/doc/30703},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Chajda, Ivan
TI - Semiregularity of congruences implies congruence modularity at 0
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 2
SP - 333
EP - 336
AB - 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.
LA - eng
KW - regularity; modularity; semiregularity; modularity at 0; regularity; modularity; semiregularity; congruence modularity at 0
UR - http://eudml.org/doc/30703
ER -

References

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  1. 10.1007/BF02485707, Algebra Universalis 4 (1974), 58–60. (1974) MR0382118DOI10.1007/BF02485707
  2. Locally regular varieties, Acta Sci. Math. (Szeged) 64 (1998), 431–435. (1998) Zbl0913.08006MR1666006
  3. Congruence modularity at 0, Discuss. Math., Algebra and Stochast. Methods 17 (1997), 57–65. (1997) MR1633236

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