000 02545nam a22004575i 4500
001 978-3-540-69992-7
003 DE-He213
005 20190213151443.0
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
072 7 _aMAT002010
_2bisacsh
072 7 _aPBPD
_2thema
082 0 4 _a512.66
_223
100 1 _aXu, Jinzhong.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aFlat Covers of Modules
_h[electronic resource] /
_cby Jinzhong Xu.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1996.
300 _aX, 162 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1634
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 _aK-theory.
650 1 4 _aK-Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11086
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662186992
776 0 8 _iPrinted edition:
_z9783540616405
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1634
856 4 0 _uhttps://doi.org/10.1007/BFb0094173
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10727
_d10727