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Lattice-ordered Rings and Modules (repost)

Posted By: interes
Lattice-ordered Rings and Modules (repost)

Lattice-ordered Rings and Modules by Stuart A. Steinberg
English | 2009 | ISBN: 1441917209, 1489982973 | 630 pages | PDF | 4 MB

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. 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. This text may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules.