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Unknown - A Course in Ring Theory (AMS Chelsea Publishing) - 9780821836804 - V9780821836804
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A Course in Ring Theory (AMS Chelsea Publishing)

€ 104.08
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Description for A Course in Ring Theory (AMS Chelsea Publishing) Hardcover. Suitable for an undergraduate first course in ring theory, this work discusses the various aspects of commutative and noncommutative ring theory. It begins with basic module theory and then proceeds to surveying various special classes of rings (Wedderbum, Artinian and Noetherian rings, hereditary rings and Dedekind domains.). Series: AMS Chelsea Publishing. Num Pages: 306 pages. BIC Classification: PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Weight in Grams: 788.
First published in 1991, this book contains the core material for an undergraduate first course in ring theory. Using the underlying theme of projective and injective modules, the author touches upon various aspects of commutative and noncommutative ring theory. In particular, a number of major results are highlighted and proved. Part I, 'Projective Modules', begins with basic module theory and then proceeds to surveying various special classes of rings (Wedderbum, Artinian and Noetherian rings, hereditary rings, Dedekind domains, etc.). This part concludes with an introduction and discussion of the concepts of the projective dimension.Part II, 'Polynomial Rings', studies these rings in a mildly noncommutative setting. Some of the results proved include the Hilbert Syzygy Theorem (in the commutative case) and the Hilbert Nullstellensatz (for almost commutative rings). Part III, 'Injective Modules', includes, in particular, various notions of the ring of quotients, the Goldie Theorems, and the characterization of the injective modules over Noetherian rings. The book contains numerous exercises and a list of suggested additional reading. It is suitable for graduate students and researchers interested in ring theory.

Product Details

Format
Hardback
Publication date
2004
Publisher
Chelsea Pub Co
Condition
New
Series
AMS Chelsea Publishing
Number of Pages
306
Place of Publication
Providence, United States
ISBN
9780821836804
SKU
V9780821836804
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1

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