000 | 02438nam a22004575i 4500 | ||
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001 | 978-3-540-69992-7 | ||
003 | DE-He213 | ||
005 | 20160624101834.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1996 gw | s |||| 0|eng d | ||
020 |
_a9783540699927 _9978-3-540-69992-7 |
||
024 | 7 |
_a10.1007/BFb0094173 _2doi |
|
050 | 4 | _aQA612.33 | |
072 | 7 |
_aPBPD _2bicssc |
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072 | 7 |
_aMAT002010 _2bisacsh |
|
082 | 0 | 4 |
_a512.66 _223 |
100 | 1 |
_aXu, Jinzhong. _eauthor. |
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245 | 1 | 0 |
_aFlat Covers of Modules _h[electronic resource] / _cby Jinzhong Xu. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1996. |
|
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1996. |
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300 |
_aX, 162 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 ; _v1634 |
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505 | 0 | _aEnvelopes and covers -- Fundamental theorems -- Flat covers and cotorsion envelopes -- Flat covers over commutative rings -- Applications in commutative rings. | |
520 | _aSince the injective envelope and projective cover were defined by Eckmann and Bas in the 1960s, they have had great influence on the development of homological algebra, ring theory and module theory. In the 1980s, Enochs introduced the flat cover and conjectured that every module has such a cover over any ring. This book provides the uniform methods and systematic treatment to study general envelopes and covers with the emphasis on the existence of flat cover. It shows that Enochs' conjecture is true for a large variety of interesting rings, and then presents the applications of the results. Readers with reasonable knowledge in rings and modules will not have difficulty in reading this book. It is suitable as a reference book and textbook for researchers and graduate students who have an interest in this field. | ||
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: _z9783540616405 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1634 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0094173 |
942 |
_2EBK1842 _cEBK |
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999 |
_c31136 _d31136 |