A divisor theoretic approach towards the arithmetic of Noetherian domains

DOI10.1007/s000130050408zbMath0964.13005OpenAlexW1997167742MaRDI QIDQ1818247

Florian Kainrath

Publication date: 16 July 2001

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050408

zbMATH Keywords

Noetherian domainsclass groupdivisor theory\(v\)-idealfinitely generated integral closure

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Divisibility and factorizations in commutative rings (13A05)

Related Items (5)

Factorization in finitely generated domains. ⋮ Arithmetic of Mori domains and monoids ⋮ Arithmetic of seminormal weakly Krull monoids and domains ⋮ On elasticities of locally finitely generated monoids ⋮ Inside factorial monoids and integral domains

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