Download e-book for kindle: Undergraduate Commutative Algebra (London Mathematical by Miles Reid

By Miles Reid

ISBN-10: 0521452554

ISBN-13: 9780521452557

ISBN-10: 0521458897

ISBN-13: 9780521458894

Commutative algebra is on the crossroads of algebra, quantity thought and algebraic geometry. This textbook is cheap and obviously illustrated, and is meant for complex undergraduate or starting graduate scholars with a few past adventure of earrings and fields. along commonplace algebraic notions comparable to turbines of modules and the ascending chain , the booklet develops intimately the geometric view of a commutative ring because the ring of services on an area. the place to begin is the Nullstellensatz, which supplies a detailed hyperlink among the geometry of a spread V and the algebra of its coordinate ring A=k[V]; although, the various geometric principles coming up from kinds follow additionally to really common earrings. the ultimate bankruptcy relates the cloth of the e-book to extra complicated subject matters in commutative algebra and algebraic geometry. It contains an account of a few recognized 'pathological' examples of Akizuki and Nagata, and a short yet thought-provoking essay at the altering place of summary algebra in modern-day world.

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Undergraduate Commutative Algebra (London Mathematical by Miles Reid PDF

Commutative algebra is on the crossroads of algebra, quantity idea and algebraic geometry. This textbook is cheap and obviously illustrated, and is meant for complicated undergraduate or starting graduate scholars with a few past event of jewelry and fields. along commonplace algebraic notions equivalent to turbines of modules and the ascending chain , the ebook develops intimately the geometric view of a commutative ring because the ring of services on an area.

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Undergraduate Commutative Algebra (London Mathematical Society Student Texts) by Miles Reid


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