Lattice-Ordered Rings And Modules

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.

• • Author: Stuart A. Steinberg
• • Publisher: Springer
• • Publication Date: Sep 05, 2014
• • Number of Pages: 648 pages
• • Language: English
• • Binding: Paperback
• • ISBN-10: 1489982973
• • ISBN-13: 9781489982971