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Integral Closure of Ideals, Rings, and Modules
Language: en
Pages: 446
Authors: Craig Huneke
Categories: Mathematics
Type: BOOK - Published: 2006-10-12 - Publisher: Cambridge University Press

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Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Integral Domains Inside Noetherian Power Series Rings: Constructions and Examples
Language: en
Pages: 426
Authors: William Heinzer
Categories: Education
Type: BOOK - Published: 2021-10-08 - Publisher: American Mathematical Soc.

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Power series provide a technique for constructing examples of commutative rings. In this book, the authors describe this technique and use it to analyse propert
Introduction To Commutative Algebra
Language: en
Pages: 140
Authors: Michael F. Atiyah
Categories: Mathematics
Type: BOOK - Published: 2018-03-09 - Publisher: CRC Press

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First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of produci
Rings, Modules, and Closure Operations
Language: en
Pages: 490
Authors: Jesse Elliott
Categories: Mathematics
Type: BOOK - Published: 2019-11-30 - Publisher: Springer Nature

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This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further a
Hilbert Functions of Filtered Modules
Language: en
Pages: 115
Authors: Maria Evelina Rossi
Categories: Mathematics
Type: BOOK - Published: 2010-08-25 - Publisher: Springer Science & Business Media

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Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are becoming increasingly important also in Computational Algebra. They ca