| 000 | 02562nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4419-1721-8 | ||
| 003 | DE-He213 | ||
| 005 | 20140220084507.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2010 xxu| s |||| 0|eng d | ||
| 020 |
_a9781441917218 _9978-1-4419-1721-8 |
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| 024 | 7 |
_a10.1007/978-1-4419-1721-8 _2doi |
|
| 050 | 4 | _aQA172-172.4 | |
| 050 | 4 | _aQA171.5 | |
| 072 | 7 |
_aPBF _2bicssc |
|
| 072 | 7 |
_aMAT002010 _2bisacsh |
|
| 082 | 0 | 4 |
_a511.33 _223 |
| 100 | 1 |
_aSteinberg, Stuart A. _eauthor. |
|
| 245 | 1 | 0 |
_aLattice-ordered Rings and Modules _h[electronic resource] / _cby Stuart A. Steinberg. |
| 250 | _aFirst. | ||
| 264 | 1 |
_aNew York, NY : _bSpringer New York, _c2010. |
|
| 300 | _bonline resource. | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 505 | 0 | _aPartially Ordered Sets and Lattices -- Lattice-ordered Groups -- Lattice-ordered Rings -- The Category of -Modules -- Lattice-ordered Fields -- Additional Topics. | |
| 520 | _aThis 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 | 0 | _aMathematics. | |
| 650 | 0 | _aAlgebra. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aOrder, Lattices, Ordered Algebraic Structures. |
| 650 | 2 | 4 | _aAlgebra. |
| 650 | 2 | 4 | _aNon-associative Rings and Algebras. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781441917201 |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4419-1721-8 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c110455 _d110455 |
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