LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512.44
Title	A Course in Commutative Algebra ([Ebook]) / by Gregor Kemper.
Author	Kemper, Gregor
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2011.
Physical Details	XII, 248 pages : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 256
ISBN	9783642035456
Summary Note	This textbook offers a thorough, modern introduction into commutative algebra. It is intented mainly to serve as a guide for a course of one or two semesters, or for self-study. The carefully selected subject matter concentrates on the concepts and results at the center of the field. The book maintains a constant view on the natural geometric context, enabling the reader to gain a deeper understanding of the material. Although it emphasizes theory, three chapters are devoted to computational aspects. Many illustrative examples and exercises enrich the text.:
Contents note	Introduction -- Part I The Algebra Geometry Lexicon: 1 Hilbert's Nullstellensatz; 2 Noetherian and Artinian Rings; 3 The Zariski Topology; 4 A Summary of the Lexicon -- Part II Dimension: 5 Krull Dimension and Transcendence Degree; 6 Localization; 7 The Principal Ideal Theorem; 8 Integral Extensions -- Part III Computational Methods: 9 Gröbner Bases; 10 Fibers and Images of Morphisms Revisited; 11 Hilbert Series and Dimension -- Part IV Local Rings: 12 Dimension Theory; 13 Regular Local Rings; 14 Rings of Dimension One -- References -- Notation -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-642-03545-6
Links to Related Works	Subject References: Algebra . Algebraic Geometry . Commutative Rings and Algebras . Computational Mathematics and Numerical Analysis . Computer Science . Geometry, Algebraic . Mathematics . Authors: Kemper, Gregor . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 512.44 . 512.44 (DDC 23) .

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A Course in Commutative Algebra

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