Normal characterizations of lattices

Let X be an arbitrary nonempty set and ℒ a lattice of subsets of X such that ∅, X∈ℒ. Let 𝒜(ℒ) denote the algebra generated by ℒ and I(ℒ) denote those nontrivial, zero-one valued, finitely additive measures on 𝒜(ℒ). In this paper, we discuss some of the normal characterizations of lattices in terms o...

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Bibliographic Details
Main Author: Carmen D. Vlad
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201007256
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