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Non-Unique Factorizations: Algebraic, Combinatorial and Analytic Theory

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Non-Unique Factorizations: Algebraic, Combinatorial and Analytic Theory - Geroldinger, Alfred, and Halter-Koch, Franz
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This monograph-the first of its kind-presents the current state of knowledge on the theory of non-unique factorizations along with a broad discussion of its algebraic, combinatorial, and analytic fundamentals. The book focuses on factorization properties in rings of integers, orders of algebraic number fields, holomorphy rings, Krull and Mori domains, Krull monoids, congruence monoids, Hilbert monoids, and zero-sum sequences over Abelian groups. It also includes self-contained introductions to the v-ideal theory of monoids, ...

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