Group-theoretic and topological invariants of completely integrally closed Prüfer domains

DOI10.1016/j.jpaa.2016.05.021zbMath1353.13020arXiv1512.03312OpenAlexW2963414180MaRDI QIDQ2630024

Olivier A. Heubo-Kwegna, Bruce Olberding, Andreas Reinhart

Publication date: 8 July 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03312

zbMATH Keywords

factorizationDedekind domainsPrüfer domainsalmost Dedekind domainsSP-domains

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Ordered groups (06F15) Divisibility and factorizations in commutative rings (13A05)

Related Items (9)

The derived sequence of a pre-Jaffard family ⋮ On the ring of D-valued R-polynomials over E ⋮ A principal ideal theorem for compact sets of rank one valuation rings ⋮ Radical factorization in commutative rings, monoids and multiplicative lattices ⋮ Divisorial Prime Ideals in Prüfer Domains ⋮ Almost Dedekind domains without radical factorization ⋮ The ideal theory of intersections of prime divisors dominating a normal Noetherian local domain of dimension two ⋮ Note on integer-valued polynomials on a residually cofinite subset ⋮ Radical factorization in finitary ideal systems

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