Radical factorization in finitary ideal systems
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Publication:5216219
DOI10.1080/00927872.2019.1640237zbMath1441.13008arXiv1903.09237OpenAlexW2966322494WikidataQ91634252 ScholiaQ91634252MaRDI QIDQ5216219
Bruce Olberding, Andreas Reinhart
Publication date: 17 February 2020
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.09237
Ideal theory for semigroups (20M12) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Arithmetic theory of semigroups (20M13)
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Cites Work
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- Factoring ideals in integral domains
- Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
- Divisorial ideals and invertible ideals in a graded integral domain
- On finite conductor domains
- On the class group of a graded domain
- Semistar Dedekind domains
- Radical factorization in commutative rings, monoids and multiplicative lattices
- Group-theoretic and topological invariants of completely integrally closed Prüfer domains
- Bézout SP-Domains
- Divisibility Properties of Graded Domains
- Factoring Ideals into Semiprime Ideals
- Semiprime factorizations in unions of Dedekind domains.
- PRÜFER ⋆-MULTIPLICATION DOMAINS AND SEMISTAR OPERATIONS
- SP-rings with zero-divisors
- Integral Domains Which are Almost Dedekind
- Almost Multiplication Rings
- On unique factorization domains