03336nam0 2200505 i 450 VAN0011403820260626115939.237N9789401799447159145754020180125d2015 |0itac50 baengNL|||| |||||i e bcrCommutative algebra: constructive methodsfinite projective modulesHenri Lombardi, Claude QuittéDordrechtSpringer2015XLIX, 996 p.ill.24 cmTranslated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative. The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prüfer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century. This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. Commutative Algebra: Constructive Methods will be useful for graduate students, and also researchers, instructors and theoretical computer scientists.001VAN000764912001 Algebra and applications210 Berlin [etc.]Springer2003-20VAN00234948Commutative algebra: constructive methods244060803FxxProof theory and constructive mathematics [MSC 2020]VANC024383MF06DxxDistributive lattices [MSC 2020]VANC033811MF13-XXCommutative algebra [MSC 2020]VANC019732MF14QxxComputational aspects in algebraic geometry [MSC 2020]VANC020815MFCommutative AlgebraKW:KConstructive MethodsKW:KDedekind-Mertens LemmaKW:KFinitely Generated Projective ModulesKW:KKronecker TheoremKW:KLocal-Global PrinciplesKW:KMatrix theoryKW:KNLDordrechtVANL000068LombardiHenriVANV088133755733QuittéClaudeVANV088134755734Springer <editore>VANV108073650ITSOL20260911RICAhttp://dx.doi.org/10.1007/978-94-017-9944-7E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN00114038BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08DLOAD e-book 0140 08eMF140 20180125 Commutative algebra: constructive methods2440608UNICAMPANIA