Finite factorization domains

DOI10.1090/S0002-9939-96-03284-4zbMath0851.13006MaRDI QIDQ4874348

Bernadette Mullins, Daniel D. Anderson

Publication date: 24 November 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

unitsNoetherian ringsintegral domainfinite factorization domains

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05)

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Irreducible Divisor Graphs and Factorization Properties of Domains, MCD-finite Domains and Ascent of IDF Property in Polynomial Extensions, On Monoids and Domains Whose Monadic Submonoids Are Krull, Arithmetic of additively reduced monoid semidomains, On noncommutative finite factorization domains, Unnamed Item, On a general theory of factorization in integral domains, Irreducibles and Primes in Computable Integral Domains, A Class of Atomic Rings, On finite molecularization domains, On Finite Factorization Rings, Power Series Over an Ascending Chain of Rings, FACTORIZATION IN MONOID DOMAINS, Factorization in commutative rings with zero divisors. III, Expansions of prime ideals, Polynomial extensions of IDF-domains and of IDPF-domains, Factorization in Integral Domains, IV, Factorization of ideals, Divisibility in rings of integer-valued polynomials, Atoms in quasilocal integral domains and Cohen–Kaplansky domains, Factorization in integral domains. III, On Fragility of Generalizations of Factoriality, Bounded and finite factorization domains, Integral domains and the IDF property, Hereditary atomicity in integral domains, Generalized power series with a limited number of factorizations

Cites Work

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• Integral Domains with Finitely Generated Groups of Divisibility
• Formal fibers and birational extensions
• Rings with Finite Norm Property