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130626 ||| eng |
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|a 9781441917218
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| 100 |
1 |
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|a Steinberg, Stuart A.
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| 245 |
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|a Lattice-ordered Rings and Modules
|h Elektronische Ressource
|c by Stuart A. Steinberg
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| 250 |
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|a 1st ed. 2010
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| 260 |
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|a New York, NY
|b Springer New York
|c 2010, 2010
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| 300 |
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|a XVIII, 630 p
|b online resource
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| 505 |
0 |
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|a Partially Ordered Sets and Lattices -- Lattice-ordered Groups -- Lattice-ordered Rings -- The Category of -Modules -- Lattice-ordered Fields -- Additional Topics
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| 653 |
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|a Associative algebras
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| 653 |
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|a Algebra
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| 653 |
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|a Associative rings
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| 653 |
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|a Order, Lattices, Ordered Algebraic Structures
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| 653 |
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|a Associative Rings and Algebras
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 028 |
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|a 10.1007/978-1-4419-1721-8
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| 856 |
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|u https://doi.org/10.1007/978-1-4419-1721-8?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 512
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| 520 |
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|a 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
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