Lattice-ordered Rings and Modules - Softcover

Steinberg, Stuart A.

Softcover

ISBN 10: 1489982973 ISBN 13: 9781489982971

Publisher: Springer, 2014

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2014
• Language: English
• ISBN 10: 1489982973
• ISBN 13: 9781489982971
• Binding: Paperback
• Number of pages: 648