University of Kashan Mathematics Interdisciplinary Research 2538-3639 8 1 2023 03 01 Pseudo o-Minimality for Double Stone Algebras 35 45 113764 10.22052/mir.2022.248328.1374 EN Farhad Jahanian Faculty of Mathematics, statistics and computer science, University of tabriz, Iran Jafar Sadegh Eivazloo Faculty of Mathematics, statistics and computer science, University of tabriz, Tabriz, Iran Journal Article 2022 09 19 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. Double Stone algebra Definable set Quantifier elimination Pseudo o-minimality https://mir.kashanu.ac.ir/article_113764_dbca5f7d7a4bb3e471d58346ae8c383b.pdf