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arxiv: 1305.4970 · v1 · pith:LYMTP7ADnew · submitted 2013-04-23 · 🧮 math.LO

On atomicity of free algebras in Boolean algebras with operators, and a new result on Pinter's free algebras

classification 🧮 math.LO
keywords algebrasfreebooleanoperatorspinterresultalgebraatomicity
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We give some general theorems on free algebras of varieties of Boolean algebras with operators; a hitherto new result is obtained for Pinter's substitution algebras. For n\geq 3, and m>1, there is a generating set of the free algebra freely generated by m elements, which is not a free set of generators.

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