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Displaying similar documents to “Disjoint sequences in Boolean algebras”

Nearly disjoint sequences in convergence l -groups

Ján Jakubík (2000)

Mathematica Bohemica

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For an abelian lattice ordered group G let G be the system of all compatible convergences on G ; this system is a meet semilattice but in general it fails to be a lattice. Let α n d be the convergence on G which is generated by the set of all nearly disjoint sequences in G , and let α be any element of G . In the present paper we prove that the join α n d ∨ α does exist in G .

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 .