Displaying similar documents to “On sequences in vector lattices”

Disjoint sequences in Boolean algebras

Ján Jakubík (1998)

Mathematica Bohemica

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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.

Sequential convergences in lattices

Ján Jakubík (1992)

Mathematica Bohemica

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The notion of sequential convergence on a lattice is defined in a natural way. In the present paper we investigate the system C o n v L of all sequential convergences on a lattice L .