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Weakly o‐Minimal Expansions of Boolean Algebras
Author(s) -
Leonesi Stefano,
Toffalori Carlo
Publication year - 2001
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/1521-3870(200105)47:2<223::aid-malq223>3.0.co;2-i
Subject(s) - mathematics , stone's representation theorem for boolean algebras , boolean algebras canonically defined , complete boolean algebra , two element boolean algebra , free boolean algebra , boolean algebra , algebra over a field , pure mathematics , discrete mathematics , algebra representation
We propose a definition of weak o‐minimality for structures expanding a Boolean algebra. We study this notion, in particular we show that there exist weakly o‐minimal non o‐minimal examples in this setting.