Titlebook: Lattice-Ordered Groups; Advances and Techniq A. M. W. Glass,W. Charles Holland Book 1989 Kluwer Academic Publishers 1989 Lattice.Permutatio

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Mathematics and Its Applicationshttp://image.papertrans.cn/l/image/581949.jpg

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Elementary Facts,e begin with the definition and some examples and then provide the requisite elementary properties (those that concern elements). The last section of the chapter includes results which will not be needed later but which might be of interest to people outside the subject and that are of a sufficiently basic nature.

accrete

The Lattice of Convex ,-Subgroups of a Lattice-Ordered Group,w much information is available from a strictly lattice-theoretic consideration of .(.). Many important classes of .-groups are described in these terms, but it is impossible to so describe varieties of .-groups; in section 5.4 we shall consider examples which reveal this limitation to our approach.

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Lattice-Ordered Permutation Groups, order-preserving permutations of totally ordered sets Ω, endowed with the pointwise order. This means that for . ∈ .(Ω), we declare that . ≤ . iff for all α ∈ Ω, α.≤ α.. It is easily checked that this makes .(Ω) a lattice-ordered group in which α(.∧g) = α.∧α.. Only rarely is .(Ω) commutative.

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Characterization of Epimorphisms in Archimedean Lattice-Ordered Groups and Vector Lattices,papers in the sequence can be disposed of with the comment: all this is true in vector lattices and the proofs require no change). . is itself interesting as a natural generalization of rings of continuous functions and as a setting for some functional analysis, and in any event seems to be a necessary bridge to ..

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A. M. W. Glass,W. Charles Holland units of measure and formulas for benchmarking energy data.The book contains the data required to measure and manage energy consumption in residential buildings. This book describes energy information in detail so that any homeowner can measure energy use on a continuing basis, make decisions regar

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A. M. W. Glass,W. Charles Holland units of measure and formulas for benchmarking energy data.The book contains the data required to measure and manage energy consumption in residential buildings. This book describes energy information in detail so that any homeowner can measure energy use on a continuing basis, make decisions regar