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Lattice-ordered Rings and Modules

Lattice-ordered Rings and Modules - 10 edition

ISBN13: 978-1441917201

Cover of Lattice-ordered Rings and Modules 10 (ISBN 978-1441917201)
ISBN13: 978-1441917201
ISBN10: 1441917209
Cover type: Hardback
Edition/Copyright: 10
Publisher: Springer-Verlag New York
Published: 2010
International: No

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Lattice-ordered Rings and Modules - 10 edition

ISBN13: 978-1441917201

Stuart A. Steinberg

ISBN13: 978-1441917201
ISBN10: 1441917209
Cover type: Hardback
Edition/Copyright: 10
Publisher: Springer-Verlag New York

Published: 2010
International: No
Summary

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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