The Theory of Lattice-Ordered Groups
A partially ordered group is an algebraic object having the structure of a group and the structure of a partially ordered set which are connected in some natural way. These connections were established in the period between the end of 19th and beginning of 20th century. It was realized that ordered...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1994, 1994
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| Edition: | 1st ed. 1994 |
| Series: | Mathematics and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Lattices
- 2 Lattice-ordered groups
- 3 Convex l-subgroups
- 4 Ordered permutation groups
- 5 Right-ordered groups
- 6 Totally ordered groups
- 7 Embeddings of lattice-ordered groups
- 8 Lattice properties in lattice-ordered groups
- 9 Varieties of lattice-ordered groups
- 10 Free l-groups
- 11 The semigroup of l-varieties
- 12 The lattice of l-varieties
- 13 Ordered permutation groups and l-varieties
- 14 Quasivarieties of lattice-ordered groups