algebra universalis

, Volume 51, Issue 2–3, pp 207–213 | Cite as

Compact factor congruences imply Boolean factor congruences

Original Paper
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Abstract.

We prove that any variety \( \mathcal{V} \) in which every factor congruence is compact has Boolean factor congruences, i.e., for all A in \( \mathcal{V} \) the set of factor congruences of A is a distributive sublattice of the congruence lattice of A.

Mathematics Subject Classification (2000):

08A05, 08A030, 03C40. 

Keywords:

Central element Boolean factor congruences compact congruences 

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Copyright information

© Birkhäuser-Verlag Basel 2004

Authors and Affiliations

  1. 1.CIEM - Facultad de Matemática, Astronomía y Física (Fa.M.A.F.)Universidad Nacional de CórdobaCórdobaArgentina

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