Bounded and finite factorization domains

DOI10.1007/978-981-16-8422-7_2zbMath1498.13003arXiv2010.02722OpenAlexW3092224099MaRDI QIDQ2089461

Felix Gotti, David F. Anderson

Publication date: 22 October 2022

Full work available at URL: https://arxiv.org/abs/2010.02722

zbMATH Keywords

FFDfactorizationHFDatomic domainACCPBFDbounded factorization domainfinite factorization domainD+M constructionmonoid domain

Mathematics Subject Classification ID

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)

Related Items (8)

On the additive structure of algebraic valuations of polynomial semirings ⋮ On the primality and elasticity of algebraic valuations of cyclic free semirings ⋮ On the arithmetic of polynomial semidomains ⋮ On the atomic structure of torsion-free monoids ⋮ On noncommutative bounded factorization domains and prime rings ⋮ Integral domains and the IDF property ⋮ Hereditary atomicity in integral domains ⋮ Generalized power series with a limited number of factorizations

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