000 | 02825nam a22004575i 4500 | ||
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001 | 978-3-540-46159-3 | ||
003 | DE-He213 | ||
005 | 20160624101822.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1989 gw | s |||| 0|eng d | ||
020 |
_a9783540461593 _9978-3-540-46159-3 |
||
024 | 7 |
_a10.1007/BFb0084570 _2doi |
|
050 | 4 | _aQA612.33 | |
072 | 7 |
_aPBPD _2bicssc |
|
072 | 7 |
_aMAT002010 _2bisacsh |
|
082 | 0 | 4 |
_a512.66 _223 |
100 | 1 |
_aGlaz, Sarah. _eauthor. |
|
245 | 1 | 0 |
_aCommutative Coherent Rings _h[electronic resource] / _cby Sarah Glaz. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1989. |
|
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1989. |
|
300 |
_aXI, 347 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 ; _v1371 |
|
505 | 0 | _aPreliminaries -- to coherence -- Fundamental concepts -- Ring extensions -- Ring constructions and overrings -- Particular coherent rings -- Polynomial rings -- Coherent algebras. | |
520 | _aThis book provides the first extensive and systematic treatment of the theory of commutative coherent rings. It blends, and provides a link, between the two sometimes disjoint approaches available in the literature, the ring theoretic approach, and the homological algebra approach. The book covers most results in commutative coherent ring theory known to date, as well as a number of results never published before. Starting with elementary results, the book advances to topics such as: uniform coherence, regular rings, rings of small homological dimensions, polynomial and power series rings, group rings and symmetric algebra over coherent rings. The subject of coherence is brought to the frontiers of research, exposing the open problems in the field. Most topics are treated in their fully generality, deriving the results on coherent rings as conclusions of the general theory. Thus, the book develops many of the tools of modern research in commutative algebra with a variety of examples and counterexamples. Although the book is essentially self-contained, basic knowledge of commutative and homological algebra is recommended. It addresses graduate students and researchers. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aK-theory. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aK-Theory. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540511151 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1371 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0084570 |
942 |
_2EBK1387 _cEBK |
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999 |
_c30681 _d30681 |