Lattice-ordered Rings and Modules, 2010
Auteur : Steinberg Stuart A.
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. 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.
Steinberg presents the material through 800+ extensive examples of varying levels of difficulty along with numerous exercises at the end of each section. 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.
Clearly written and self-contained
Each chapter contains a wealth of exercises as well as historical notes
Provides a comprehensive summary of the past 60 years of research in this field
Includes supplementary material: sn.pub/extras
Date de parution : 09-2014
Ouvrage de 630 p.
15.5x23.5 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 52,74 €
Ajouter au panierDate de parution : 12-2009
Ouvrage de 630 p.
15.5x23.5 cm