Compact Intersection Property and description of congruence lattices

Rok, strany: 2014, 643 - 664

We say that a variety $\mathcal{V}$ of algebras has the Compact Intersection Property (CIP), if the family of compact congruences of every $A \in \mathcal{V}$ is closed under intersection. We investigate the congruence lattices of algebras in locally finite congruence-distributive CIP varieties. We prove some general results and obtain a complete characterization for some types of such varieties. We provide two kinds of description of congruence lattices: via direct limits and via Priestley duality.

ISO 690:

Krajník, F., Ploščica, M. 2014. Compact Intersection Property and description of congruence lattices. In Mathematica Slovaca, vol. 64, no.3, pp. 643-664. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0231-9

APA:

Krajník, F., Ploščica, M. (2014). Compact Intersection Property and description of congruence lattices. Mathematica Slovaca, 64(3), 643-664. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0231-9