Some relations between weak sigma-distributivity, Egorov property, Dedekind completeness and super Dedekind completeness in the context of l-groups are investigated, and some comparisons among different types of convergence in l-groups are deduced. Among the obtained results, we deduce in particular that, in the setting od super Dedekind complete and weakly sigma-distributive l-groups, to deal with order convergence and operate with (D)-convergence are equivalent.
Egorov property and weak sigma-distributivity in l-groups
BOCCUTO, Antonio
2003
Abstract
Some relations between weak sigma-distributivity, Egorov property, Dedekind completeness and super Dedekind completeness in the context of l-groups are investigated, and some comparisons among different types of convergence in l-groups are deduced. Among the obtained results, we deduce in particular that, in the setting od super Dedekind complete and weakly sigma-distributive l-groups, to deal with order convergence and operate with (D)-convergence are equivalent.File in questo prodotto:
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