English

Embeddings into the countable atomless Boolean algebra

Rings and Algebras 2010-06-24 v1 Logic

Abstract

We prove that there is a lattice embedded from every countable distributive lattice into the Boolean algebra of computable subsets of N\mathbb{N}. Along the way, we discuss all relevant results about lattices, Boolean algebras and embeddings between them.

Keywords

Cite

@article{arxiv.1006.4479,
  title  = {Embeddings into the countable atomless Boolean algebra},
  author = {Stijn Vermeeren},
  journal= {arXiv preprint arXiv:1006.4479},
  year   = {2010}
}
R2 v1 2026-06-21T15:39:52.475Z