000 | 02526nam a22004815i 4500 | ||
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001 | 978-3-540-47539-2 | ||
003 | DE-He213 | ||
005 | 20190213151321.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1992 gw | s |||| 0|eng d | ||
020 |
_a9783540475392 _9978-3-540-47539-2 |
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024 | 7 |
_a10.1007/BFb0089165 _2doi |
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050 | 4 | _aQA241-247.5 | |
072 | 7 |
_aPBH _2bicssc |
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072 | 7 |
_aMAT022000 _2bisacsh |
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072 | 7 |
_aPBH _2thema |
|
082 | 0 | 4 |
_a512.7 _223 |
100 | 1 |
_aGreither, Cornelius. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aCyclic Galois Extensions of Commutative Rings _h[electronic resource] / _cby Cornelius Greither. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1992. |
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300 |
_aX, 146 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 |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1534 |
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505 | 0 | _aGalois theory of commutative rings -- Cyclotomic descent -- Corestriction and Hilbert's Theorem 90 -- Calculations with units -- Cyclic p-extensions and {ie771-}-extensions of number fields -- Geometric theory: cyclic extensions of finitely generated fields -- Cyclic Galois theory without the condition “p ?1 ? R”. | |
520 | _aThe structure theory of abelian extensions of commutative rings is a subjectwhere commutative algebra and algebraic number theory overlap. This exposition is aimed at readers with some background in either of these two fields. Emphasis is given to the notion of a normal basis, which allows one to view in a well-known conjecture in number theory (Leopoldt's conjecture) from a new angle. Methods to construct certain extensions quite explicitly are also described at length. | ||
650 | 0 | _aNumber theory. | |
650 | 0 | _aAlgebra. | |
650 | 1 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
650 | 2 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662178362 |
776 | 0 | 8 |
_iPrinted edition: _z9783540563501 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1534 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0089165 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10254 _d10254 |