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Lattice-ordered Rings and Modules

Springer New York,
Buch
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Kurzbeschreibung

This book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included. Key topics include: lattice-ordered groups, rings, and fields; Archimedean $l$-groups; f-rings and larger varieties of $l$-rings; the category of f-modules; various commutativity results. This text may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules.

Details
Schlagworte
Hauptbeschreibung

Titel: Lattice-ordered Rings and Modules
Autoren/Herausgeber: Stuart A. Steinberg
Ausgabe: 2010

ISBN/EAN: 9781441917201

Seitenzahl: 630
Format: 23,5 x 15,5 cm
Produktform: Hardcover/Gebunden
Gewicht: 2,390 g
Sprache: Englisch

This book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included.
Steinberg includes in his presentation of the material 800+ extensive exercises of varying levels of difficulty at the end of each of the sections. The first two chapters of the book provide a thorough introduction to the material, while the following four chapters delve into more specific topics.
Key topics include:
*lattice-ordered groups, rings, and fields;
*archimedean $l$-groups;
*f-rings and larger varieties of $l$-rings;
*the category of f-modules;
*various commutativity results.
Filling a gap in the literature, Lattice-Ordered Rings and Modules may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules.

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