English

Depth of Boolean algebras

Logic 2012-09-04 v1

Abstract

We prove a Theorem about the relationship between the Depth of the ultraproduct of Boolean algebras, divided by an ultrafilter, and the products of the depths of each component. This answers (partly) an open problem of Monk.

Keywords

Cite

@article{arxiv.0802.4185,
  title  = {Depth of Boolean algebras},
  author = {Saharon Shelah and Shimon Garti},
  journal= {arXiv preprint arXiv:0802.4185},
  year   = {2012}
}
R2 v1 2026-06-21T10:16:45.709Z