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Science/Engineering Lattice-ordered Rings and Modules

Posted on 2010-03-16




Name:Science/Engineering Lattice-ordered Rings and Modules
ASIN/ISBN:1441917209
Language:English
File size:5.7 Mb
Publish Date: 2009
ISBN: 1441917209
Pages: 630 pages
File Type: PDF
File Size: 5,7 MB
Other Info: Springer
   Science/Engineering Lattice-ordered Rings and Modules

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Stuart A. Steinberg, "630-ordered Rings and Modules"

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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Technical Algebras, Rings and Modules:

Technical Algebras, Rings and Modules:

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