Algebra: v.2
2nd Edition
Published on 26. April 1989
Book
Paperback/Softback
444 pages
978-0-471-92235-3 (ISBN)
Description
The main emphasis of this revised algebra textbook is on fields, rings and modules. The text includes new chapters on the representative theory of finite groups, coding theory and algebraic language theory. Sets, lattices, categories and graphs are introduced at the beginning of the text. The text, which has been rewritten with the aim of making the subject easier to grasp, contains simplified proofs and many new illustrations and exercises.
More details
Edition
2nd Revised edition
Language
English
Place of publication
Chichester
United Kingdom
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Edition type
Revised edition
Illustrations
diagrams, bibliography, index
Dimensions
Height: 50 mm
Width: 29 mm
Weight
650 gr
ISBN-13
978-0-471-92235-3 (9780471922353)
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Schweitzer Classification
Content
Conventions on terminology - table of interdependence of chapters (Leitfaden) - sets, Zorn's lemma and well-ordered sets; lattices - Boolean algebras, Mobius functions; field theory - the fundamental theorem of Galois theory; modules; rings and algebras - the Wedderburn structure theorems; quadratic forms and ordered fields - Witt's cancellation theorem and the Witt group of a field; representation theory of finite groups - Maschke's theorem, the theorems of Burnside and Frobenius; valuation theory; commutative rings - Notherian rings, Dedekind domains, the Hilbert Nullstellensatz; coding theory; languages and automata.