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Lattice-Ordered Groups: An Introduction: 4 (Reidel Texts in the Mathematical Sciences, 4) - Hardcover
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The study of groups equipped with a compatible lattice order ("lattice-ordered groups" or "I!-groups") has arisen in a number of different contexts. Examples of this include the study of ideals and divisibility, dating back to the work of Dedekind and continued by Krull; the pioneering work of Hahn on totally ordered abelian groups; and the work of Kantorovich and other analysts on partially ordered function spaces. After the Second World War, the theory of lattice-ordered groups became a subject of study in its own right, following the publication of fundamental papers by Birkhoff, Nakano and Lorenzen. The theory blossomed under the leadership of Paul Conrad, whose important papers in the 1960s provided the tools for describing the structure for many classes of I!-groups in terms of their convex I!-subgroups. A particularly significant success of this approach was the generalization of Hahn's embedding theorem to the case of abelian lattice-ordered groups, work done with his students John Harvey and Charles Holland. The results of this period are summarized in Conrad's "blue notes" [C].
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Lattice-Ordered Groups: An Introduction (Reidel Texts in the Mathematical Sciences, 4)
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Lattice-Ordered Groups (Hardcover)
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Hardcover. Condition: new. Hardcover. The study of groups equipped with a compatible lattice order ("lattice-ordered groups" or "I!-groups") has arisen in a number of different contexts. Examples of this include the study of ideals and divisibility, dating back to the work of Dedekind and continued by Krull; the pioneering work of Hahn on totally ordered abelian groups; and the work of Kantorovich and other analysts on partially ordered function spaces. After the Second World War, the theory of lattice-ordered groups became a subject of study in its own right, following the publication of fundamental papers by Birkhoff, Nakano and Lorenzen. The theory blossomed under the leadership of Paul Conrad, whose important papers in the 1960s provided the tools for describing the structure for many classes of I!-groups in terms of their convex I!-subgroups. A particularly significant success of this approach was the generalization of Hahn's embedding theorem to the case of abelian lattice-ordered groups, work done with his students John Harvey and Charles Holland. The results of this period are summarized in Conrad's "blue notes" [C]. The study of groups equipped with a compatible lattice order ("lattice-ordered groups" or "I!-groups") has arisen in a number of different contexts. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9789027726438
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Lattice-Ordered Groups: An Introduction (Reidel Texts in the Mathematical Sciences, 4)
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Lattice-Ordered Groups
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Lattice-Ordered Groups
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Springer Netherlands Jan 1988, 1988
ISBN 10: 9027726434
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The study of groups equipped with a compatible lattice order ('lattice-ordered groups' or 'I!-groups') has arisen in a number of different contexts. Examples of this include the study of ideals and divisibility, dating back to the work of Dedekind and continued by Krull; the pioneering work of Hahn on totally ordered abelian groups; and the work of Kantorovich and other analysts on partially ordered function spaces. After the Second World War, the theory of lattice-ordered groups became a subject of study in its own right, following the publication of fundamental papers by Birkhoff, Nakano and Lorenzen. The theory blossomed under the leadership of Paul Conrad, whose important papers in the 1960s provided the tools for describing the structure for many classes of I!-groups in terms of their convex I!-subgroups. A particularly significant success of this approach was the generalization of Hahn's embedding theorem to the case of abelian lattice-ordered groups, work done with his students John Harvey and Charles Holland. The results of this period are summarized in Conrad's 'blue notes' [C]. 204 pp. Englisch. Seller Inventory # 9789027726438
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Lattice-Ordered Groups
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The study of groups equipped with a compatible lattice order ( lattice-ordered groups or I!-groups ) has arisen in a number of different contexts. Examples of this include the study of ideals and divisibility, dating back to the work of Dedekind and conti. Seller Inventory # 5815486
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