Factoring Ideals in Integral Domains

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This volume provides a wide-ranging survey of, and many new results on, various important types of ideal factorization actively investigated by several authors

Integral Closure of Ideals, Rings, and Modules

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Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.

Multiplicative Ideal Theory and Factorization Theory

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This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigro

Integral Domains Inside Noetherian Power Series Rings: Constructions and Examples

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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

Monomial Ideals and Their Decompositions

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This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathem