# Sh:853

- Shelah, S. (2005).
*The depth of ultraproducts of Boolean algebras*. Algebra Universalis,**54**(1), 91–96. arXiv: math/0406531 DOI: 10.1007/s00012-005-1925-1 MR: 2217966 -
Abstract:

We show that if \mu is a compact cardinal then the depth of ultraproducts of less than \mu many Boolean algebras is at most \mu plus the ultraproduct of the depths of those Boolean algebras - Version 2005-05-03_10 (9p) published version (6p)

Bib entry

@article{Sh:853, author = {Shelah, Saharon}, title = {{The depth of ultraproducts of Boolean algebras}}, journal = {Algebra Universalis}, fjournal = {Algebra Universalis}, volume = {54}, number = {1}, year = {2005}, pages = {91--96}, issn = {0002-5240}, mrnumber = {2217966}, mrclass = {06E05 (03E55 03E75)}, doi = {10.1007/s00012-005-1925-1}, note = {\href{https://arxiv.org/abs/math/0406531}{arXiv: math/0406531}}, arxiv_number = {math/0406531} }