Irena Swanson,Craig Huneke's Integral Closure of Ideals, Rings, and Modules (London PDF

By Irena Swanson,Craig Huneke

indispensable closure has performed a job in quantity conception and algebraic geometry because the 19th century, yet a latest formula of the concept that for beliefs possibly started with the paintings of Krull and Zariski within the Thirties. It has constructed right into a device for the research of many algebraic and geometric difficulties. This ebook collects jointly the relevant notions of necessary closure and offers a unified remedy. concepts and themes lined comprise: habit of the Noetherian estate lower than vital closure, analytically unramified jewelry, the conductor, box separability, valuations, Rees algebras, Rees valuations, discounts, multiplicity, combined multiplicity, joint discounts, the Briançon-Skoda theorem, Zariski's thought of integrally closed beliefs in two-dimensional commonplace neighborhood earrings, computational facets, adjoints of beliefs and basic homomorphisms. With many labored examples and routines, this ebook will offer graduate scholars and researchers in commutative algebra or ring thought with an approachable creation best into the present literature.

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Integral Closure of Ideals, Rings, and Modules (London Mathematical Society Lecture Note Series) by Irena Swanson,Craig Huneke

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