Download Undergraduate Commutative Algebra (London Mathematical by Miles Reid PDF

By Miles Reid

Commutative algebra is on the crossroads of algebra, quantity thought and algebraic geometry. This textbook is reasonable and obviously illustrated, and is meant for complex undergraduate or starting graduate scholars with a few earlier adventure of earrings and fields. along average algebraic notions akin to turbines of modules and the ascending chain situation, the e-book develops intimately the geometric view of a commutative ring because the ring of capabilities on an area. the place to begin is the Nullstellensatz, which gives an in depth hyperlink among the geometry of a spread V and the algebra of its coordinate ring A=k[V]; notwithstanding, a number of the geometric principles coming up from kinds observe additionally to relatively normal jewelry. the ultimate bankruptcy relates the cloth of the publication to extra complex subject matters in commutative algebra and algebraic geometry. It comprises an account of a few well-known 'pathological' examples of Akizuki and Nagata, and a quick yet thought-provoking essay at the altering place of summary algebra in state-of-the-art world.

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