Nearly disjoint sequences in convergence $l$-groups

Ján Jakubík

Displaying similar documents to “Nearly disjoint sequences in convergence $l$ -groups”

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.

On iterated limits of subsets of a convergence $ℓ$ -group

Ján Jakubík (2001)

Mathematica Bohemica

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In this paper we deal with the relation $lim_{α} lim_{α} X = lim_{α} X$ for a subset $X$ of $G$ , where $G$ is an $ℓ$ -group and $α$ is a sequential convergence on $G$ .

A correction to “Some mean convergence and complete convergence theorems for sequences of $m$ -linearly negative quadrant dependent random variables”

Yongfeng Wu, Andrew Rosalsky, Andrei Volodin (2017)

Applications of Mathematics

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The authors provide a correction to “Some mean convergence and complete convergence theorems for sequences of $m$ -linearly negative quadrant dependent random variables”.

Direct product decompositions of infinitely distributive lattices

Ján Jakubík (2000)

Mathematica Bohemica

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Let $α$ be an infinite cardinal. Let $𝒯_{α}$ be the class of all lattices which are conditionally $α$ -complete and infinitely distributive. We denote by $𝒯_{σ}^{'}$ the class of all lattices $X$ such that $X$ is infinitely distributive, $σ$ -complete and has the least element. In this paper we deal with direct factors of lattices belonging to $𝒯_{α}$ . As an application, we prove a result of Cantor-Bernstein type for lattices belonging to the class $𝒯_{σ}^{'}$ .

Convergence $l$ -groups with zero radical

Ján Jakubík (1997)

Mathematica Bohemica

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In this paper we investigate abelian convergence $ℓ$ -groups with zero radical such that each bounded sequence has a convergent subsequence.

Displaying similar documents to “Nearly disjoint sequences in convergence l -groups”

Disjoint sequences in Boolean algebras

On iterated limits of subsets of a convergence ℓ -group

A correction to “Some mean convergence and complete convergence theorems for sequences of m -linearly negative quadrant dependent random variables”

Direct product decompositions of infinitely distributive lattices

Convergence l -groups with zero radical

Displaying similar documents to “Nearly disjoint sequences in convergence $l$ -groups”

On iterated limits of subsets of a convergence $ℓ$ -group

A correction to “Some mean convergence and complete convergence theorems for sequences of $m$ -linearly negative quadrant dependent random variables”

Convergence $l$ -groups with zero radical