Lattice-ordered Rings and Modules

• Main Author: Steinberg, Stuart A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Edition: First.
• Subjects: Mathematics.; Algebra.; Associative rings.; Rings (Algebra).; Ordered algebraic structures.; Order, Lattices, Ordered Algebraic Structures.; Associative Rings and Algebras.

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. Ste...

Table of Contents:

• Partially Ordered Sets and Lattices
• Lattice-ordered Groups
• Lattice-ordered Rings
• The Category of -Modules
• Lattice-ordered Fields
• Additional Topics.