Title:
Lattice-ordered Rings and Modules by Stuart A. Steinberg.
Author:
Steinberg, Stuart A.
SpringerLink (Online service)
General Notes:
<P>Preface -- Partially Ordered Sets and Lattices -- Lattice-Ordered Groups -- Lattice-Ordered Rings -- The Category of f-modules -- Fields -- Additional Topics -- Index -- References.</P>.
<P>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.</P> <P>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. </P> <P>Key topics include:</P> <P>*lattice-ordered groups, rings, and fields;</P> <P>*archimedean $l$-groups;</P> <P>*f-rings and larger varieties of $l$-rings;</P> <P>*the category of f-modules;</P> <P>*various commutativity results.</P> <P>Filling a gap in the literature, <EM>Lattice-Ordered Rings and Modules</EM> may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules.</P>
Publisher:
Springer New York,
Publication Place:
New York, NY :
ISBN:
9781441917218
Subject:
Mathematics.
Algebra.
Mathematics.
Order, Lattices, Ordered Algebraic Structures.
Algebra.
Non-associative Rings and Algebras.
Edition:
First.
Contents:
<P>Preface -- Partially Ordered Sets and Lattices -- Lattice-Ordered Groups -- Lattice-Ordered Rings -- The Category of f-modules -- Fields -- Additional Topics -- Index -- References.</P>.
Physical Description:
digital.
Electronic Location:
http://dx.doi.org/10.1007/978-1-4419-1721-8
Publication Date:
2010.
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