(DOWNLOAD) "Lattice-ordered Rings and Modules" by Stuart A. Steinberg " eBook PDF Kindle ePub Free
eBook details
- Title: Lattice-ordered Rings and Modules
- Author : Stuart A. Steinberg
- Release Date : January 19, 2009
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 27204 KB
Description
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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