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(DOWNLOAD) "Lattice-ordered Rings and Modules" by Stuart A. Steinberg # eBook PDF Kindle ePub Free

Lattice-ordered Rings and Modules

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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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