Pseudo o-Minimality for Double Stone Algebras

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Jahanian Farhad; Eivazloo Jafar Sadegh

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Journal Paper

Paper Information

Journal: Mathematics Interdisciplinary Research Year:2023 | Volume:8 | Issue:1 Page(s): 35-45

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Information Journal Paper

Title

Pseudo o-Minimality for Double Stone Algebras

Author(s)

Jahanian Farhad | Eivazloo Jafar Sadegh | Issue Writer Certificate

Keywords

Double Stone algebra

Definable set

Quantifier elimination

Pseudo o-minimality

Abstract

Pseudo o-minimality is a generalization of o-minimality of linear orders to partial orders. Recently Lei Chen, Niandong Shi and Guohua Wu provided Pseudo o-minimality for the class of Stone algebras. In this note we use Quantifier elimination property to show that the class of Double Stone algebras is pseudo o-minimal in their expanded language.

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