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Undergraduate Commutative Algebra

Name: Undergraduate Commutative Algebra
Brand: Cambridge University Press
SKU: 04092001
Price: 1358 CZK
Availability: InStock
Author: Miles (University of Warwick) Reid
ISBN: 9780521458894

Miles (University of Warwick) Reid

Jazyk

Angličtina

Kniha Brožovaná

Libristo kód: 04092001

Nakladatelství Cambridge University Press, listopad 1995

Commutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This text... Celý popis

Libristo kód: 04092001

136 b

1 358 Kč

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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.