000			02181cam a2200349Ii 4500
003			OCoLC
005			20240701150038.0
008			210413s2021 sz ob 001 0 eng d
020			_a9783030615956
020			_a3030615952
020			_z9783030615949
020			_z3030615944
041			_aEnglish
049			_aMAIN
072		7	_aMAT002000 _2bisacsh
082	0	4	_a512.44 _223 _bCHA
100	1		_aChambert-Loir, Antoine,
100	1		_eauthor.
245	1	0	_a(Mostly) commutative algebra / _cAntoine Chambert-Loir.
300			_a1 online resource.
490	1		_aUniversitext.
504			_aIncludes bibliographical references and index.
505	0		_aPreface -- 1 Rings -- 2 Ideals and divisibility -- 3 Modules -- 4 Field extensions -- 5 Modules over principal ideal rings -- 6 Noetherian and artinian rings. Primary decomposition -- 7 First steps in homological algebra -- 8 Tensor products and determinants -- 9 Commutative algebra: the normalization theorem, dimension theory, Dedekind rings -- Appendix -- References -- Index.-.
506			_aAccess restricted to subscribing institutions.
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		0	_aCommutative algebra.
830		0	_aUniversitext.
856	4	0	_uhttps://ezproxy.lib.gla.ac.uk/login?url=https://link.springer.com/10.1007/978-3-030-61595-6
856	4	0	_zConnect to e-book
907			_a.b37696932
942			_2ddc _cBOOKS
999			_c43176 _d43176