LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	511.33
Title	Lattice-ordered Rings and Modules ([Ebook]) / by Stuart A. Steinberg.
Author	Steinberg, Stuart A.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2010.
Physical Details	XVIII, 630 pages : online resource.
ISBN	9781441917218
Summary Note	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.:
Contents note	Preface -- Partially Ordered Sets and Lattices -- Lattice-Ordered Groups -- Lattice-Ordered Rings -- The Category of f-modules -- Fields -- Additional Topics -- Index -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4419-1721-8
Links to Related Works	Subject References: Algebra . Mathematics . Non-associative Rings and Algebras . Order, Lattices, Ordered Algebraic Structures . Authors: Steinberg, Stuart A. . Corporate Authors: SpringerLink (Online service) . Classification: 511.33 . 511.33 (DDC 23) .

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Lattice-ordered Rings and Modules

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