ON BOUNDING MEASURES OF PRIMENESS IN INTEGRAL DOMAINS

DOI10.1142/S0218196712500403zbMath1251.13002OpenAlexW2042488067MaRDI QIDQ2909485

David F. Anderson, Scott Thomas Chapman

Publication date: 30 August 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196712500403

zbMATH Keywords

UFDfactorizationKrull domainprime elementirreducible elementBFDextensions of integral domainsinert extensions\(\omega\)-BFDstrongly inert extensions

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) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items

On (m,n)-closed ideals of commutative rings, Factorization invariants in numerical monoids, On the linearity of \(\omega\)-primality in numerical monoids., Factoring in the Chicken McNugget Monoid, Factorization properties of Leamer monoids., Measuring primality in numerical semigroups with embedding dimension three

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