English

Existentially closed De Morgan algebras

Logic 2019-11-11 v3

Abstract

We show that the theory of De Morgan algebras has a model completion and axiomatise it. Then we prove that it is 0\aleph_0-categorical and describe definable and algebraic closures in that theory. We also obtain similar results for Boole-De Morgan algebras.

Keywords

Cite

@article{arxiv.1810.02335,
  title  = {Existentially closed De Morgan algebras},
  author = {Vahagn Aslanyan},
  journal= {arXiv preprint arXiv:1810.02335},
  year   = {2019}
}

Comments

Minor corrections

R2 v1 2026-06-23T04:28:46.808Z