# Sh:853

• Shelah, S. (2005). The depth of ultraproducts of Boolean algebras. Algebra Universalis, 54(1), 91–96.
• 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
• 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}
}