Note on the divisoriality of domains of the form $k[[X^{p}, X^{q}]]$, $k[X^{p}, X^{q}]$, $k[[X^{p}, X^{q}, X^{r}]]$, and $k[X^{p}, X^{q}, X^{r}]$

DOI10.3906/mat-1503-15zbMath1424.13030OpenAlexW2268618185MaRDI QIDQ4633082

Abdeslam Mimouni

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1503-15

zbMATH Keywords

Noetherian domaindivisorial idealdivisorial domain

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (6)

Core of ideals in one-dimensional Noetherian domains ⋮ Ideal containment in commutative rings ⋮ Reductions and Core of Ideals in Integral Domains: Some Recent Developments ⋮ Noetherian domains in which every ideal is isomorphic to a trace ideal ⋮ On some classes of integral domains with finitely many star operations of finite type ⋮ Finitely star regular domains

Cites Work

• Unique irredundant intersections of completely irreducible ideals
• Conducive integral domains
• Factorization in \(K[X^ 2,X^ 3\)]
• Domains satisfying the trace property
• The radical trace property
• Warfield domains
• Topologically defined classes of commutative rings
• Seminormal graded rings. II
• The radical trace property and primary ideals
• Noetherian domains which admit only finitely many star operations
• Prüfer domains and endomorphism rings of their ideals
• Reflexive domains
• On the ubiquity of Gorenstein rings
• Trace Properties and Integral Domains, II
• Some characterizations of v-domains and related properties
• On seminormal overrings
• Pairs of Rings with the Same Prime Ideals
• Divisorial domains
• Some finiteness conditions on the set of overrings of an integral domain
• Factorization in K[Xⁿ, Xⁿ⁺¹,…,X²ⁿ⁻¹]
• Integral domains in which each non‐zero ideal is divisorial
• The Value-Semigroup of a One-Dimensional Gorenstein Ring
• On seminormality
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