Theory of lattice-ordered groups
著者
書誌事項
Theory of lattice-ordered groups
（Monographs and textbooks in pure and applied mathematics, 187）
M. Dekker, c1995
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注記
Bibliography: p. 497-528
Includes index
内容説明・目次
内容説明
Provides a thorough discussion of the orderability of a group. The book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. A radically new presentation of the theory of varieties of lattice-ordered groups is offered.;This work is intended for pure and applied mathematicians and algebraists interested in topics such as group, order, number and lattice theory, universal algebra, and representation theory; and upper-level undergraduate and graduate students in these disciplines.;College or university bookstores may order five or more copies at a special student price which is available from Marcel Dekker Inc, upon request.
目次
- The interplay of algebra and order
- convex lattice-ordered subgroups
- polars and disjoint elements
- complete distibutivity
- totally ordered structures
- order preserving permutations of a chain
- classes of lattice-ordered groups
- normal-valued lattice-ordered groups
- representable and abelian lattice-ordered groups
- Archimedian lattice-ordered groups
- lattice-ordered varieties.
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