Divisibility Properties of the Semiring of Ideals of an Integral Domain

DOI10.1142/S1005386720000309zbMath1448.13007OpenAlexW3082340791MaRDI QIDQ5120235

Hwankoo Kim, Gyu Whan Chang

Publication date: 9 September 2020

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386720000309

zbMATH Keywords

star operationGaussian semiringP*MD*-Dedekind domainbézout semiringprincipal ideal semidomainunique factorization semidomain

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Semirings (16Y60) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (3)

S-∗_w-Principal Ideal Domains ⋮ Unnamed Item ⋮ Sharpness and semistar operations in Prüfer-like domains

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