Direct decompositions of non-algebraic complete lattices
General Mathematics
2007-05-23 v1
Abstract
For a given complete lattice L, we investigate whether L can be decomposed as a direct product of directly indecomposable lattices. We prove that this is the case if every element of L is a join of join-irreducible elements and dually, thus extending to non-algebraic lattices a result of L. Libkin. We illustrate this by various examples and counterexamples.
Keywords
Cite
@article{arxiv.math/0501373,
title = {Direct decompositions of non-algebraic complete lattices},
author = {Friedrich Wehrung},
journal= {arXiv preprint arXiv:math/0501373},
year = {2007}
}