Congruence amalgamation of lattices

Details Congruence amalgamation of lattices Congruence amalgamation of lattices

2005-01-22

arxiv.org/abs/math/0501370v1

Acta Sci. Math. (Szeged) 66 (2000) 339--358

Mathematics

General Mathematics

Scientific paper

J. Tuma proved an interesting "congruence amalgamation" result. We are generalizing and providing an alternate proof for it. We then provide applications of this result: --A.P. Huhn proved that every distributive algebraic lattice $D$ with at most $\aleph\_1$ compact elements can be represented as the congruence lattice of a lattice $L$. We show that $L$ can be constructed as a locally finite relatively complemented lattice with zero. --We find a large class of lattices, the $\omega$-congruence-finite lattices, that contains all locally finite countable lattices, in which every lattice has a relatively complemented congruence-preserving extension.

Affiliated with

Also associated with

No associations

Rating

Congruence amalgamation of lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Congruence amalgamation of lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Congruence amalgamation of lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-279829