000 02825nam a22004575i 4500
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.
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 ;
_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
999 _c30681
_d30681