Topological Aspects of the Product of Lattices

Let 𝐗 be an arbitrary nonempty set and 𝐋 a lattice of subsets of 𝐗 such that ∅, X∈L. 𝐀(𝐋) denotes the algebra generated by 𝐋, and 𝐌(𝐋) denotes those nonnegative, finite, finitely additive measures on 𝐀(𝐋). In addition, 𝐈(𝐋) denotes the subset of 𝐌(𝐋) which consists of the nontrivial zero-one valued...

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Bibliographic Details
Main Author: Carmen Vlad
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/920737
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