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100301s2010 xxu| s |||| 0|eng d |
| 020 |
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|a 9781441917218
|9 978-1-4419-1721-8
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| 024 |
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|a 10.1007/978-1-4419-1721-8
|2 doi
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|a QA172-172.4
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|a QA171.5
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|a PBF
|2 bicssc
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|a MAT002010
|2 bisacsh
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|a 511.33
|2 23
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|a Steinberg, Stuart A.
|e author.
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|a Lattice-ordered Rings and Modules
|c by Stuart A. Steinberg.
|h [electronic resource] /
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| 250 |
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|a First.
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| 264 |
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1 |
|a New York, NY :
|b Springer New York,
|c 2010.
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| 300 |
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|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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|a Preface -- Partially Ordered Sets and Lattices -- Lattice-Ordered Groups -- Lattice-Ordered Rings -- The Category of f-modules -- Fields -- Additional Topics -- Index -- References.
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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.
|
| 650 |
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0 |
|a Mathematics.
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| 650 |
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0 |
|a Algebra.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Order, Lattices, Ordered Algebraic Structures.
|
| 650 |
2 |
4 |
|a Algebra.
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| 650 |
2 |
4 |
|a Non-associative Rings and Algebras.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
0 |
8 |
|i Printed edition:
|z 9781441917201
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| 856 |
4 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-1721-8
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|