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Undergraduate Commutative Algebra

Door Miles Reid

Categorie
Algemeen wetenschap
Boeknummer
#342030-ZA23
Titel
Undergraduate Commutative Algebra
Auteur
Reid, Miles
Boektype
Paperback
Uitgeverij
Cambridge : University Press
Jaar van uitgave
1995
ISBN10
0521458897
ISBN13
9780521458894
Taal
Engels
Beschrijving
Paperback, illustrated with numerous equations and diagrams, 8vo. London Mathematical Society Student Texts, 29.
Samenvatting
This textbook 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, it develops in detail the geometric view of a commutative ring as the ring of functions on a space.
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 functio... (Lees verder)ns 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 wo
Pagina's
153
Conditie
Goed — Name in pen on title page.
Prijs
€ 20,00

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