Unsolvable one-dimensional lifting problems for congruence lattices of lattices

Details Unsolvable one-dimensional lifting problems for congruence lattices of lattices Unsolvable one-dimensional lifting problems for congruence lattices of lattices

2005-01-22

arxiv.org/abs/math/0501377v1

Forum Mathematicum 14, no. 4 (2002) 483--493

Mathematics

General Mathematics

Scientific paper

Let S be a distributive {∨, 0}-semilattice. In a previous paper, the second author proved the following result: Suppose that S is a lattice. Let K be a lattice, let $\phi$: Con K $\to$ S be a {∨, 0}-homomorphism. Then $\phi$ is, up to isomorphism, of the form Conc f, for a lattice L and a lattice homomorphism f : K $\to$ L. In the statement above, Conc K denotes as usual the {∨, 0}-semilattice of all finitely generated congruences of K. We prove here that this statement characterizes S being a lattice.

Affiliated with

Also associated with

No associations

Rating

Unsolvable one-dimensional lifting problems for congruence lattices 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 Unsolvable one-dimensional lifting problems for congruence lattices of lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unsolvable one-dimensional lifting problems for congruence lattices of lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-279854