Abstract
We define a nontrivial variety of boolean algebras with operators such that every member of the variety is atomless. This shows that not every variety of boolean algebras with operators is generated by its atomic members, and thus establishes a strong incompleteness result in (multi-)modal logic.
Citation
Yde Venema. "Atomless varieties." J. Symbolic Logic 68 (2) 607 - 614, June 2003. https://doi.org/10.2178/jsl/1052669066
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