000 02257nam a22003498i 4500
001 CR9781139172721
003 UkCbUP
005 20200124160221.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 111013s1995||||enk o ||1 0|eng|d
020 _a9781139172721 (ebook)
020 _z9780521452557 (hardback)
020 _z9780521458894 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA251.3
_b.R45 1995
082 0 0 _a512/.24
_220
100 1 _aReid, Miles
_q(Miles A.),
_eauthor.
245 1 0 _aUndergraduate commutative algebra /
_cMiles Reid.
264 1 _aCambridge :
_bCambridge University Press,
_c1995.
300 _a1 online resource (xiii, 153 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society student texts ;
_v29
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aCommutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules and the ascending chain condition, the book develops in detail the geometric view of a commutative ring as the ring of functions on a space. The starting point is the Nullstellensatz, which provides a close link between the geometry of a variety V and the algebra of its coordinate ring A=k[V]; however, many of the geometric ideas arising from varieties apply also to fairly general rings. The final chapter relates the material of the book to more advanced topics in commutative algebra and algebraic geometry. It includes an account of some famous 'pathological' examples of Akizuki and Nagata, and a brief but thought-provoking essay on the changing position of abstract algebra in today's world.
650 0 _aCommutative algebra.
776 0 8 _iPrint version:
_z9780521452557
830 0 _aLondon Mathematical Society student texts ;
_v29.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139172721
999 _c516752
_d516750