000			01910nam a22003257a 4500
003			OSt
005			20250214154124.0
008			250214b |||||||| |||| 00| 0 hin d
020			_a9783030615949
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a512 _bCHA-M
100			_aChambert-Loir, Antoine
245			_a(Mostly) commutative algebra
260			_aCham, Switzerland : _bSpringer, _c2021.
300			_axv, 466 pages : _b12 b/w illustrations, 6 illustrations in colour
490			_aUniversitext
504			_aIncludes bibliographical references and index.
520			_aThis book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At that level, students have already followed a basic course in linear algebra and are essentially fluent with the language of vector spaces over fields. The topics introduced include arithmetic of rings, modules, especially principal ideal rings and the classification of modules over such rings, Galois theory, as well as an introduction to more advanced topics such as homological algebra, tensor products, and algebraic concepts involved in algebraic geometry. More than 300 exercises will allow the reader to deepen his understanding of the subject. The book also includes 11 historical vignettes about mathematicians who contributed to commutative algebra.
650			_aCommutative algebra
650			_aRings
650			_aIdeals and divisibility
650			_aGalois theory
650			_aTensor Products
650			_aLinear algebra
650			_aHomological algebra
650			_aGrothendieck's descent
856			_3Table of content _uhttps://link.springer.com/content/pdf/bfm:978-3-030-61595-6/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/71271869-mostly-commutative-algebra?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35660 _d35660