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Minimally generated Boolean algebras

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Abstract

We introduce the class of minimally generated Boolean algebras, i.e. those algebras representable as the union of a continuous well-ordered chain of subalgebras A 1 where A i+1 is a minimal extension of A i. Minimally generated algebras are closely related to interval algebras and superatomic algebras.

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Communicated by B. Jonsson

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Koppelberg, S. Minimally generated Boolean algebras. Order 5, 393–406 (1989). https://doi.org/10.1007/BF00353658

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  • DOI: https://doi.org/10.1007/BF00353658

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