English

The countable existentially closed pseudocomplemented semilattice

Logic 2016-07-08 v9

Abstract

As the class of pseudocomplemented semilattices is a universal Horn class generated by a single finite structure it has a 0\aleph_0-categorical model companion. We will construct the countable existentially closed pseudocomplemented semilattice which is the uniquely determined model of cardinality 0\aleph_0 of the model companion as a direct limit of algebraically closed pseudocomplemented semilattices.

Keywords

Cite

@article{arxiv.1203.6700,
  title  = {The countable existentially closed pseudocomplemented semilattice},
  author = {Joël Adler},
  journal= {arXiv preprint arXiv:1203.6700},
  year   = {2016}
}
R2 v1 2026-06-21T20:42:12.726Z