Lattice-ordered Rings and Modules

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. Key...

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1. Verfasser: Steinberg, Stuart A
Format: Buch
Sprache:eng
Schlagworte:
Algebra
Algebra & number theory
Associative Rings and Algebras
Lattice theory
Mathematics
Mathematics and Statistics
Modules (Algebra)
Order, Lattices, Ordered Algebraic Structures
Rings (Algebra)
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description 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.
doi_str_mv 10.1007/978-1-4419-1721-8
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subjects Algebra
Algebra & number theory
Associative Rings and Algebras
Lattice theory
Mathematics
Mathematics and Statistics
Modules (Algebra)
Order, Lattices, Ordered Algebraic Structures
Rings (Algebra)
title Lattice-ordered Rings and Modules
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