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Lattice-ordered Rings and Modules / by Stuart A. Steinberg

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: New York, NY : Springer New York, 2010Edition: FirstDescription: Online-Ressource (digital)ISBN:
  • 9781441917218
Subject(s): Additional physical formats: 9781441917201 | Buchausg. u.d.T.: Lattice-ordered rings and modules. New York, NY : Springer, 2010. XVIII, 630 S.MSC: MSC: *06F25 | 06-01 | 06-02RVK: RVK: SK 230LOC classification:
  • QA172-172.4 QA171.5
DOI: DOI: 10.1007/978-1-4419-1721-8Online resources: Summary: Partially Ordered Sets and Lattices -- Lattice-ordered Groups -- Lattice-ordered Rings -- The Category of -Modules -- Lattice-ordered Fields -- Additional Topics.Summary: 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. Steinberg includes in his presentation of the material 800+ extensive exercises of varying levels of difficulty at the end of each of the sections. The first two chapters of the book provide a thorough introduction to the material, while the following four chapters delve into more specific topics. 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. 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.PPN: PPN: 1649908636Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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