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LEADER: 05259cam 2200865 i 4500
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003 OCoLC
005 20201004233045.0
008 940315s1994 riua b 000 0 eng
010 $a 94014402
040 $aDLC$beng$cDLC$dUBA$dBAKER$dNLGGC$dBTCTA$dOCLCG$dGEBAY$dNUI$dBDX$dGBVCP$dOCLCO$dOCLCF$dOCLCQ$dDEBBG$dDEBSZ$dFQG$dTXI$dOCLCO$dBUF$dOCLCO$dS2H$dOCLCO$dL2U$dOCLCO
019 $a1166963799$a1170892071
020 $a0821825844$q(acid-free paper)
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035 $a(OCoLC)30076869$z(OCoLC)1166963799$z(OCoLC)1170892071
050 00 $aQA3$b.A57 no. 526
082 00 $a510 s$a512/.4$220
084 $a31.23$2bcl
084 $aMAT 160f$2stub
084 $aSI 810$2rvk
100 1 $aGotō, Shirō,$d1946-
245 14 $aThe Cohen-Macaulay and Gorenstein Rees algebras associated to filtrations /$cShirō Gotō, Kōji Nishida.
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$c©1994.
300 $avii, 134 :$billustrations ;$c26 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vno. 526
500 $a"July 1994, volume 110, number 526 (first of 6 numbers)."
504 $aIncludes bibliographical references for Part I (pages 65-68) and for Part II (pages 130-134).
505 00 $gPart I.$tThe Cohen-Macaulay symbolic Rees algebras for curve singularities /$rShirō Gotō ;$tIntroduction --$tPreliminaries --$tThe case of dimension 1 --$tThe case of dimension 2 --$tThe Cohen-Macaulay and Gorenstein properties of G[subscript capital]S([bold]p) --$tThe Cohen-Macaulay and Gorenstein properties of R[subscript capital]S([bold]p) --$tExamples.
505 00 $gPart II.$tFiltrations and the Gorenstein property of the associated Rees algebras /$rShirō Gotō and Kōji Nishida ;$tIntroduction --$tPreliminaries --$tProof of Theorem (1.1) --$tProof of Theorem (1.3) and (1.5) --$tThe Gorenstein property of Rees algebras R(F) and the condition (S₂) for A --$tGraded rings Rʹ --$tExamples of R[subscript capital]S([bold]p) --$tNormalized Rees algebras R̄(I) --$tBad example.
520 $aAt first, this volume was intended to be an investigation of symbolic blow-up rings for prime ideals defining curve singularities. The motivation for that has come from the recent 3-dimensional counterexamples to Cowsik's question, given by the authors and Watanabe: it has to be helpful, for further researches on Cowsik's question and a related problem of Kronecker, to generalize their methods to those of a higher dimension. However, while the study was progressing, it proved apparent that the framework of Part I still works, not only for the rather special symbolic blow-up rings but also in the study of Rees algebras R(F) associated to general filtrations F = {F[subscript]n} [subscript]n [subscript][set membership symbol][subscript bold]Z of ideals. This observation is closely explained in Part II of this volume, as a general ring-theory of Rees algebras R(F). We are glad if this volume will be a new starting point for the further researchers on Rees algebras R(F) and their associated graded rings G(F).
650 0 $aCohen-Macaulay rings.
650 0 $aGorenstein rings.
650 0 $aHomology theory.
650 0 $aSingularities (Mathematics)
650 1 $aGorenstein rings.
650 2 $aHomology theory.
650 3 $aSingularities [Mathematics].
650 7 $a31.23 rings, algebras.$0(NL-LeOCL)080448526$2bcl
650 7 $aCohen-Macaulay rings.$2fast$0(OCoLC)fst00866578
650 7 $aGorenstein rings.$2fast$0(OCoLC)fst00944977
650 7 $aHomology theory.$2fast$0(OCoLC)fst00959720
650 7 $aSingularities (Mathematics)$2fast$0(OCoLC)fst01119502
650 7 $aCohen-Macaulay-Ring$2gnd
650 7 $aFilter$gMathematik$2gnd
650 7 $aGorenstein-Ring$2gnd
650 17 $aHomologische algebra.$2gtt
650 17 $aRingen (wiskunde)$2gtt
650 7 $aAlgebra Comutativa.$2larpcal
650 07 $aCohen-Macaulay-Ring.$2swd
650 07 $aFilter (Mathematik)$2swd
650 07 $aGorenstein-Ring.$2swd
653 0 $aCohen-Macaulay rings
653 0 $aGorenstein rings
653 0 $aHomology theory
653 0 $aSingularities (Mathematics)
700 1 $aNishida, Kōji,$d1960-$eauthor.
830 0 $aMemoirs of the American Mathematical Society ;$vno. 526.
856 41 $3Table of contents$uhttp://www.gbv.de/dms/hbz/toc/ht006360436.PDF
856 4 $3Inhaltsverzeichnis$uhttp://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=1897194&custom%5Fatt%5F2=simple%5Fviewer$yThe Cohen Macaulay and Gorenstein Rees algebras associated to filtrations
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938 $aBaker and Taylor$bBTCP$n94014402
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948 $hNO HOLDINGS IN P4A - 204 OTHER HOLDINGS