Advanced Modern Algebra

Joseph J. Rotman

ISBN 10: 1470415542 / ISBN 13: 9781470415549

Editore: American Mathematical Society, US, 2015

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This new edition, now in two parts, has been significantly reorganized and many sections have been rewritten. This first part, designed for a first year of graduate algebra, consists of two courses: Galois theory and Module theory. Topics covered in the first course are classical formulas for solutions of cubic and quartic equations, classical number theory, commutative algebra, groups, and Galois theory. Topics in the second course are Zorn's lemma, canonical forms, inner product spaces, categories and limits, tensor products, projective, injective, and flat modules, multilinear algebra, affine varieties, and Grobner bases.

Codice articolo LU-9781470415549

Dati bibliografici

• Titolo: Advanced Modern Algebra
• Editore: American Mathematical Society, US
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 1470415542
• ISBN 13: 9781470415549
• Rilegatura: Hardback
• Edizione: Third Edition.
• Condizione: New
• Peso: 1378 grammi

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Riassunto

Part One--this volume--can be used as a text for the first year of graduate algebra, says Rotman, but it and the forthcoming Part Two can also serve more advanced graduate students wishing to learn topics on their own. They comprise a reference as well, he says, containing many of the standard theorems and definitions that users of algebra need to know. Part One contains material for two courses. The first course covers classical formulas, classical number theory, commutative rings, groups, and Galois theory. The second course covers modules, Zorn's lemma, advanced linear algebra, categories of modules, multilinear algebra, and more commutative algebra. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)