Unique irredundant intersections of completely irreducible ideals

DOI10.1016/J.JALGEBRA.2005.03.001zbMath1104.13001OpenAlexW2002128832MaRDI QIDQ556973

Bruce Olberding, William J. Heinzer

Publication date: 23 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.03.001

zbMATH Keywords

Prüfer domainvaluation ringalmost Dedekind domainarithmetical ringchain ring

Mathematics Subject Classification ID

Principal ideal rings (13F10) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Local rings and semilocal rings (13H99)

Related Items (9)

Group-theoretic and topological invariants of completely integrally closed Prüfer domains ⋮ Products and intersections of prime-power ideals in Leavitt path algebras ⋮ 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 $k[X^{p}, X^{q}, X^{r}]$] ⋮ Variations of primeness and factorization of ideals in Leavitt path algebras ⋮ ON THE NOTION OF STRONG IRREDUCIBILITY AND ITS DUAL ⋮ Some Properties of Completely Arithmetical Rings ⋮ The ideal theory of intersections of prime divisors dominating a normal Noetherian local domain of dimension two ⋮ Commutative ideal theory without finiteness conditions: Completely irreducible ideals ⋮ Completely Arithmetical Rings

Cites Work

• Rings with Noetherian spectrum
• Commutative ideal theory without finiteness conditions: Completely irreducible ideals
• Commutative ideal theory without finiteness conditions: Primal ideals
• Associated Prime Ideals in Non-Noetherian Rings
• Locally Noetherian Commutative Rings
• On Primal Ideals
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