000 02428nam a22003498i 4500
001 CR9780511574726
003 UkCbUP
005 20200124160234.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090522s1994||||enk o ||1 0|eng|d
020 _a9780511574726 (ebook)
020 _z9780521454841 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 4 _aQA251.3
_b.V36 1994
082 0 0 _a512/.24
_220
100 1 _aVasconcelos, Wolmer V.,
_eauthor.
245 1 0 _aArithmetic of blowup algebras /
_cWolmer V. Vasconcelos.
264 1 _aCambridge :
_bCambridge University Press,
_c1994.
300 _a1 online resource (329 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v195
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _gForeword --
_gIntroduction --
_tKrull dimension --
_tSyzygetic sequences --
_tApproximation complexes --
_tLinkage and Koszul homology --
_tArithmetic of Rees algebras --
_tFractoriality --
_tIdeal transforms --
_tThe equations of Rees algebras --
_tCommuting varieties of algebra --
_tComputational methods in commutative algebra.
520 _aThis book provides an introduction to recent developments in the theory of blow up algebras - Rees algebras, associated graded rings, Hilbert functions, and birational morphisms. The emphasis is on deriving properties of rings from their specifications in terms of generators and relations. While this limits the generality of many results, it opens the way for the application of computational methods. A highlight of the book is the chapter on advanced computational methods in algebra using Gröbner basis theory and advanced commutative algebra. The author presents the Gröbner basis algorithm and shows how it can be used to resolve computational questions in algebra. This volume is intended for advanced students in commutative algebra, algebraic geometry and computational algebra, and homological algebra. It can be used as a reference for the theory of Rees algebras and related topics.
650 0 _aCommutative algebra.
776 0 8 _iPrint version:
_z9780521454841
830 0 _aLondon Mathematical Society lecture note series ;
_v195.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511574726
999 _c517916
_d517914