Lattice-ordered groups : advances and techniques / edited by A. M. W. Glass and W. Charles Holland.

Colaborador(es): Glass, A. M. W. (Andrew Martin William), 1944- [edt] | Holland, W. Charles [edt]Series Mathematics and its applications (Kluwer Academic Publishers): Editor: Dordrecht : Kluwer Academic Publishers, c1989Descripción: xix, 380 p. ; 25 cmISBN: 0792301161Tema(s): Lattice ordered groupsOtra clasificación: 06F15 (06-06 20F60)
Contenidos:
Elementary facts -- Homomorphisms, prime subgroups, values and structure theorems -- Lattice-ordered permutation groups / W. Charles Holland -- Model theory of abelian $l$-groups / Volker Weispfenning -- Groups of divisibility: a unifying concept for integral domains and partially ordered groups / Joe L. Mott -- The lattice of convex $l$-subgroups of a lattice-ordered group / Marlow Anderson, Paul Conrad and Jorge Martinez -- Torsion theory of $l$-groups / Jorge Martinez -- Completions of $l$-groups / Richard N. Ball -- Characterization of epimorphisms in Archimedean lattice-ordered groups and vector lattices / Richard N. Ball and Anthony W. Hager -- Free lattice-ordered groups / Stephen H. McCleary -- Varieties of lattice-ordered groups / Norman R. Reilly -- Free products in varieties of lattice-ordered groups / Wayne B. Powell and Constantine Tsinakis -- Amalgamations of lattice-ordered groups / Constantine Tsinakis and Wayne B. Powell -- Generators and relations in lattice-ordered groups: decision problems and embedding theorems / A. M. W. Glass.
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Incluye referencias bibliográficas (p. 347-373).

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.

MR, 91i:06017

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