Atom structures
نویسنده
چکیده
The atom structure of an atomic boolean algebra with operators is some canonically defined frame or relational structure that is based on the set of atoms of the algebra. We discuss the relation between varieties of boolean algebras with operators and the induced class of atom structures. Our main result states that for a variety V of boolean algebras with conjugated operators, the corresponding class At V of atom structures is elementary; moreover, an (infinite) axiomatization of At V can be generated from the equations defining V.
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تاریخ انتشار 1997