000 02053nam a22003858i 4500
001 CR9781139171762
003 UkCbUP
005 20200124160225.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 111013s1986||||enk o ||1 0|eng|d
020 _a9781139171762 (ebook)
020 _z9780521259163 (hardback)
020 _z9780521367646 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
041 1 _aeng
_hjpn
050 0 0 _aQA251.3
_b.M37213 1986
082 0 0 _a512/.4
_219
100 1 _aMatsumura, Hideyuki,
_d1930-
_eauthor.
240 1 0 _aKakankanron.
_lEnglish
245 1 0 _aCommutative ring theory /
_cHideyuki Matsumura ; translated by M. Reid.
264 1 _aCambridge :
_bCambridge University Press,
_c1986.
300 _a1 online resource (xiii, 320 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v8
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aIn addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book.
650 0 _aCommutative rings.
700 1 _aReid, M.,
_etranslator.
776 0 8 _iPrint version:
_z9780521259163
830 0 _aCambridge studies in advanced mathematics ;
_v8.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139171762
999 _c517130
_d517128