Lattice-ordered groups : advances and techniques
edited by A. M. W. Glass and W. Charles Holland.
Dordrecht : Kluwer Academic Publishers, ©1989.
xix, 380 págs. ; 25 cm.
Serie: Mathematics and its applications
ISBN: 0792301161
Incluye referencias bibliográficas (p. 347-373).
Reseña: MathSciNet, 91i:06017
Contenido
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0. Elementary facts
- 1. Homomorphisms, prime subgroups, values and structure theorems
- 2. Lattice-ordered permutation groups / W. Charles Holland
- 3. Model theory of abelian $l$-groups / Volker Weispfenning
- 4. Groups of divisibility: a unifying concept for integral domains and partially ordered groups / Joe L. Mott
- 5. The lattice of convex $l$-subgroups of a lattice-ordered group / Marlow Anderson, Paul Conrad and Jorge Martinez
- 6. Torsion theory of $l$-groups / Jorge Martinez
- 7. Completions of $l$-groups / Richard N. Ball
- 8. Characterization of epimorphisms in Archimedean lattice-ordered groups and vector lattices / Richard N. Ball and Anthony W. Hager
- 9. Free lattice-ordered groups / Stephen H. McCleary
- 10. Varieties of lattice-ordered groups / Norman R. Reilly
- 11. Free products in varieties of lattice-ordered groups / Wayne B. Powell and Constantine Tsinakis
- 12. Amalgamations of lattice-ordered groups / Constantine Tsinakis and Wayne B. Powell
- 13. Generators and relations in lattice-ordered groups: decision problems and embedding theorems / A. M. W. Glass.
- 1. Homomorphisms, prime subgroups, values and structure theorems