Lattice-ordered Rings and Modules
Stuart A. Steinberg, "Lattice-ordered Rings and Modules"
Publisher: Springer | 2009 | ISBN 1441917209 | PDF | 630 pages | 5.9 MB
This book pres 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 pre 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.
http://depositfiles.com/en/files/05o185o13
========
http://www.filesonic.com/file/23079309/1441917209.pdf
Stuart A. Steinberg, "Lattice-ordered Rings and Modules"
Publisher: Springer | 2009 | ISBN 1441917209 | PDF | 630 pages | 5.9 MB
This book pres 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 pre 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.
http://depositfiles.com/en/files/05o185o13
========
http://www.filesonic.com/file/23079309/1441917209.pdf
