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portada Undergraduate Commutative Algebra
Type
Physical Book
Publisher
Author
Year
1995
Language
English
Pages
168
Format
Hardcover
ISBN
0521452554
ISBN13
9780521452557
Edition No.
1
Categories

Undergraduate Commutative Algebra

Miles Reid (Author) · Cambridge University Press · Hardcover

Undergraduate Commutative Algebra - Miles Reid

New Book Imported to New Zealand
Delivery: 05 Aug - 12 Aug Shipping: 5 to 6 business days.
NZ$ 452.00
Import costs and 15% GST included in the price ✅
NZ$ 452.00

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Synopsis "Undergraduate Commutative Algebra "

Commutative algebra is at the crossroads of algebra number theory and algebraic geometry. This textbook is affordable and clearly illustrated and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules and the ascending chain condition the book develops in detail the geometric view of a commutative ring as the ring of functions on a space. The starting point is the Nullstellensatz which provides a close link between the geometry of a variety V and the algebra of its coordinate ring A=k[V]; however many of the geometric ideas arising from varieties apply also to fairly general rings. The final chapter relates the material of the book to more advanced topics in commutative algebra and algebraic geometry. It includes an account of some famous pathological examples of Akizuki and Nagata and a brief but thought provoking essay on the changing position of abstract algebra in today s world.

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