000 | 02670nam a22004815i 4500 | ||
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001 | 978-3-540-69996-5 | ||
003 | DE-He213 | ||
005 | 20190213151715.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1996 gw | s |||| 0|eng d | ||
020 |
_a9783540699965 _9978-3-540-69996-5 |
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024 | 7 |
_a10.1007/BFb0092696 _2doi |
|
050 | 4 | _aQA564-609 | |
072 | 7 |
_aPBMW _2bicssc |
|
072 | 7 |
_aMAT012010 _2bisacsh |
|
072 | 7 |
_aPBMW _2thema |
|
082 | 0 | 4 |
_a516.35 _223 |
100 | 1 |
_aMarshall, Murray A. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aSpaces of Orderings and Abstract Real Spectra _h[electronic resource] / _cby Murray A. Marshall. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1996. |
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300 |
_aVI, 198 p. _bonline resource. |
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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 |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1636 |
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505 | 0 | _aOrderings on fields -- Spaces of orderings -- Fans and the representation theorem -- P-structures, connected components and 0 the isotropy theorem -- The real spectrum of a ring -- Abstract real spectra -- Minimal generation of constructible sets -- Structure results and realization results. | |
520 | _aThis book is of interest to students as well as experts in the area of real algebraic geometry, quadratic forms, orderings, valuations, lattice ordered groups and rings, and in model theory. The original motivation comes from orderings on fields and commutative rings. This is explained as is the important application to minimal generation of semi-algebraic sets. Many results in the new theory of abstract real spectra (also called spaces of signs) appear here for the first time. The reader needs elementary knowledge of commutative rings, ordered fields and real closed fields and valuations. | ||
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aAlgebra. | |
650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aOrder, Lattices, Ordered Algebraic Structures. _0http://scigraph.springernature.com/things/product-market-codes/M11124 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662204276 |
776 | 0 | 8 |
_iPrinted edition: _z9783540617297 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1636 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0092696 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11602 _d11602 |