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Multiplicative Ideal Theory and Factorization Theory

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Cover of 'Multiplicative Ideal Theory and Factorization Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Multiplicative Ideal Theory in Noncommutative Rings
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    Chapter 2 About Number Fields with Pólya Group of Order $$\le $$ ≤ 2
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    Chapter 3 The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics
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    Chapter 4 Ring and Semigroup Constructions
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    Chapter 5 New Distinguished Classes of Spectral Spaces: A Survey
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    Chapter 6 Relative Polynomial Closure and Monadically Krull MonoidsMonoid monadically Krull monoid of Integer-Valued Polynomials
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    Chapter 7 An Overview of the Computational Aspects of Nonunique Factorization Invariants
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    Chapter 8 Arithmetic of Mori Domains and Monoids: The Global Case
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    Chapter 9 Prüfer Domains of Integer-Valued Polynomials
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    Chapter 10 Lobal Properties of Integral Domains
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    Chapter 11 Noetherian Semigroup Algebras and Beyond
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    Chapter 12 Topological Aspects of Irredundant Intersections of Ideals and Valuation Rings
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    Chapter 13 Idempotent Pairs and PRINC Domains
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    Chapter 14 Some Recent Results and Open Problems on Sets of Lengths of Krull MonoidsMonoid Krull monoid with Finite Class Group
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    Chapter 15 Factorizations of Elements in Noncommutative Rings: A Survey
Attention for Chapter 1: Multiplicative Ideal Theory in Noncommutative Rings
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Chapter title
Multiplicative Ideal Theory in Noncommutative Rings
Chapter number 1
Book title
Multiplicative Ideal Theory and Factorization Theory
Published by
Springer, Cham, January 2016
DOI 10.1007/978-3-319-38855-7_1
Book ISBNs
978-3-31-938853-3, 978-3-31-938855-7
Authors

Evrim Akalan, Hidetoshi Marubayashi

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