000			02217nam a22003498i 4500
001			CR9780511623684
003			UkCbUP
005			20200124160220.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090916s2000||||enk o ||1 0|eng|d
020			_a9780511623684 (ebook)
020			_z9780521646239 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA251.3 _bS53 2000
082	0	0	_a512/.24 _221
100	1		_aSharp, R. Y., _eauthor.
245	1	0	_aSteps in commutative algebra / _cR.Y. Sharp.
250			_aSecond edition.
264		1	_aCambridge : _bCambridge University Press, _c2000.
300			_a1 online resource (xii, 355 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 ; _v51
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThis introductory account of commutative algebra is aimed at advanced undergraduates and first year graduate students. Assuming only basic abstract algebra, it provides a good foundation in commutative ring theory, from which the reader can proceed to more advanced works in commutative algebra and algebraic geometry. The style throughout is rigorous but concrete, with exercises and examples given within chapters, and hints provided for the more challenging problems used in the subsequent development. After reminders about basic material on commutative rings, ideals and modules are extensively discussed, with applications including to canonical forms for square matrices. The core of the book discusses the fundamental theory of commutative Noetherian rings. Affine algebras over fields, dimension theory and regular local rings are also treated, and for this second edition two further chapters, on regular sequences and Cohen-Macaulay rings, have been added. This book is ideal as a route into commutative algebra.
650		0	_aCommutative algebra.
776	0	8	_iPrint version: _z9780521646239
830		0	_aLondon Mathematical Society student texts ; _v51.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511623684
999			_c516679 _d516677