On sequences in vector lattices

Ján Jakubík

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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 $α \lor β$ exists in the partially ordered set $Conv B$ . Further we show that each interval of $Conv B$ is a Brouwerian lattice.

Lattice ordered groups having a largest convergence

Ján Jakubík (1989)

Czechoslovak Mathematical Journal

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Directly indecomposable direct factors of a lattice

Ján Jakubík (1996)

Mathematica Bohemica

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In this paper we generalize a result of Libkin concerning direct product decompositions of lattices.