Integral closure has played a role in number theory and algebraic geometry since the nineteenth century, but a modern formulation of the concept for ideals perhaps began with the work of Krull and Zariski in the 1930s. It has developed into a tool for the analysis of many algebraic and geometric problems. This book collects together the central notions of integral closure and presents a unified treatment. Techniques and topics covered include: behavior of the Noetherian property under integral closure, analytically unramified rings, the conductor, field separability, valuations, Rees algebras, Rees valuations, reductions, multiplicity, mixed multiplicity, joint reductions, the Briançon-Skoda theorem, Zariski's theory of integrally closed ideals in two-dimensional regular local rings, computational aspects, adjoints of ideals and normal homomorphisms. With many worked examples and exercises, this book will provide graduate students and researchers in commutative algebra or ring theory with an approachable introduction leading into the current literature.
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Irena Swanson is a Professor in the Department of Mathematics at Reed College, Portland.
Craig Huneke is the Henry J. Bischoff Professor in the Department of Mathematics, University of Kansas.
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Condición: New. Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure. Series Editor(s): Hitchin, N. J. Series: London Mathematical Society Lecture Note Series. Num Pages: 448 pages, 6 b/w illus. 346 exercises. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 226 x 153 x 28. Weight in Grams: 664. . 2008. Illustrated. paperback. . . . . Nº de ref. del artículo: V9780521688604
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Paperback. Condición: new. Paperback. Integral closure has played a role in number theory and algebraic geometry since the nineteenth century, but a modern formulation of the concept for ideals perhaps began with the work of Krull and Zariski in the 1930s. It has developed into a tool for the analysis of many algebraic and geometric problems. This book collects together the central notions of integral closure and presents a unified treatment. Techniques and topics covered include: behavior of the Noetherian property under integral closure, analytically unramified rings, the conductor, field separability, valuations, Rees algebras, Rees valuations, reductions, multiplicity, mixed multiplicity, joint reductions, the Briancon-Skoda theorem, Zariski's theory of integrally closed ideals in two-dimensional regular local rings, computational aspects, adjoints of ideals and normal homomorphisms. With many worked examples and exercises, this book will provide graduate students and researchers in commutative algebra or ring theory with an approachable introduction leading into the current literature. Integral closure is a tool for the analysis of many algebraic and geometric problems. Ideal for graduate students and researchers in commutative algebra or ring theory, this book collects together the central notions of integral closure and presents a unified treatment. Contains many worked examples and exercises. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9780521688604
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Paperback. Condición: new. Paperback. Integral closure has played a role in number theory and algebraic geometry since the nineteenth century, but a modern formulation of the concept for ideals perhaps began with the work of Krull and Zariski in the 1930s. It has developed into a tool for the analysis of many algebraic and geometric problems. This book collects together the central notions of integral closure and presents a unified treatment. Techniques and topics covered include: behavior of the Noetherian property under integral closure, analytically unramified rings, the conductor, field separability, valuations, Rees algebras, Rees valuations, reductions, multiplicity, mixed multiplicity, joint reductions, the Briancon-Skoda theorem, Zariski's theory of integrally closed ideals in two-dimensional regular local rings, computational aspects, adjoints of ideals and normal homomorphisms. With many worked examples and exercises, this book will provide graduate students and researchers in commutative algebra or ring theory with an approachable introduction leading into the current literature. Integral closure is a tool for the analysis of many algebraic and geometric problems. Ideal for graduate students and researchers in commutative algebra or ring theory, this book collects together the central notions of integral closure and presents a unified treatment. Contains many worked examples and exercises. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Nº de ref. del artículo: 9780521688604
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Condición: New. Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure. Series Editor(s): Hitchin, N. J. Series: London Mathematical Society Lecture Note Series. Num Pages: 448 pages, 6 b/w illus. 346 exercises. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 226 x 153 x 28. Weight in Grams: 664. . 2008. Illustrated. paperback. . . . . Books ship from the US and Ireland. Nº de ref. del artículo: V9780521688604
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paperback. Condición: New. In shrink wrap. Looks like an interesting title! Nº de ref. del artículo: Q-0521688604
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Integral closure is a tool for the analysis of many algebraic and geometric problems. Ideal for graduate students and researchers in commutative algebra or ring theory, this book collects together the central notions of integral closure and presents a unifi. Nº de ref. del artículo: 446944968
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