On Depth and Depth+ of Boolean Algebras

Shimon Garti; Saharon Shelah

doi:10.1007/s00012-008-2065-1

On Depth and Depth⁺ of Boolean Algebras

Shimon Garti^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We show that the Depth⁺ of an ultraproduct of Boolean Algebras cannot jump over the Depth⁺ of every component by more than one cardinal. Consequently we have similar results for the Depth invariant.

Original language	English
Pages (from-to)	243-248
Number of pages	6
Journal	Algebra Universalis
Volume	58
Issue number	2
DOIs	https://doi.org/10.1007/s00012-008-2065-1
State	Published - Mar 2008

Keywords

Boolean algebras
Depth
Ultraproducts

Access to Document

10.1007/s00012-008-2065-1

Cite this

@article{41909eb602c14ca5a8c15c2542af0c30,

title = "On Depth and Depth+ of Boolean Algebras",

abstract = "We show that the Depth+ of an ultraproduct of Boolean Algebras cannot jump over the Depth+ of every component by more than one cardinal. Consequently we have similar results for the Depth invariant.",

keywords = "Boolean algebras, Depth, Ultraproducts",

author = "Shimon Garti and Saharon Shelah",

year = "2008",

month = mar,

doi = "10.1007/s00012-008-2065-1",

language = "אנגלית",

volume = "58",

pages = "243--248",

journal = "Algebra Universalis",

issn = "0002-5240",

publisher = "Birkhauser Verlag Basel",

number = "2",

}

TY - JOUR

T1 - On Depth and Depth+ of Boolean Algebras

AU - Garti, Shimon

AU - Shelah, Saharon

PY - 2008/3

Y1 - 2008/3

N2 - We show that the Depth+ of an ultraproduct of Boolean Algebras cannot jump over the Depth+ of every component by more than one cardinal. Consequently we have similar results for the Depth invariant.

AB - We show that the Depth+ of an ultraproduct of Boolean Algebras cannot jump over the Depth+ of every component by more than one cardinal. Consequently we have similar results for the Depth invariant.

KW - Boolean algebras

KW - Depth

KW - Ultraproducts

UR - https://www.scopus.com/pages/publications/105011172168

U2 - 10.1007/s00012-008-2065-1

DO - 10.1007/s00012-008-2065-1

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:105011172168

SN - 0002-5240

VL - 58

SP - 243

EP - 248

JO - Algebra Universalis

JF - Algebra Universalis

IS - 2

ER -

On Depth and Depth⁺ of Boolean Algebras

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this