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Disjoint sequences in Boolean algebras

Ján Jakubík (1998)

Mathematica Bohemica

We deal with the system Conv B of all sequential convergences on a Boolean algebra B . We prove that if α is a sequential convergence on B which is generated by a set of disjoint sequences and if β is any element of Conv B , then the join α β exists in the partially ordered set Conv B . Further we show that each interval of Conv B is a Brouwerian lattice.

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