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

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          Abstract

          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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          Journal
          2013-04-23
          Article
          1305.4970
          1db24a02-d935-4d4c-9e8d-8b747098b1eb

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          arXiv admin note: substantial text overlap with arXiv:1304.1148, arXiv:1302.3043
          math.LO

          Logic & Foundation
          Logic & Foundation

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