Overrings of Prüfer domains. II
From MaRDI portal
Publication:2526938
DOI10.1016/0021-8693(67)90073-7zbMath0156.04304OpenAlexW2005998869MaRDI QIDQ2526938
Robert Gilmer, William J. Heinzer
Publication date: 1967
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(67)90073-7
Related Items
Trace Properties and Integral Domains, II ⋮ Groups in the class semigroup of a prüfer domain of finite character ⋮ Integral domains in which each non‐zero ideal is divisorial ⋮ Almost maximal prüfer domains ⋮ Domains satisfying the trace property ⋮ Ring-Theoretic Properties of PvMDs ⋮ The \(t\)\#-property for integral domains ⋮ Factoring ideals in Prüfer domains ⋮ Group-theoretic and topological invariants of completely integrally closed Prüfer domains ⋮ The derived sequence of a pre-Jaffard family ⋮ Some Remarks on Complete Integral Closure ⋮ Module cancellation properties ⋮ The radical trace property ⋮ Domains with the radical trace property and their complete integral closure ⋮ VALUATIVE DOMAINS ⋮ Extending rings of Prüfer type in central simple algebras. ⋮ Localizing Global Properties to Individual Maximal Ideals ⋮ On Monoids and Domains Whose Monadic Submonoids Are Krull ⋮ The S-transform and the ideal transform ⋮ On the flat overrings of an integral domain ⋮ On ring extensions satisfying the star-hash property ⋮ Maximal overrings of an integral domain not containing a given element ⋮ Divisorial Prime Ideals in Prüfer Domains ⋮ Idempotence and Divisoriality in Prüfer-Like Domains ⋮ The Krull-Schmidt property for ideals and modules over integral domains. ⋮ When the dual of an ideal is a ring ⋮ Algebraic properties of the ring of integer-valued polynomials on prime numbers ⋮ Priifer domains with class group generated by the classes of the invertible maximal ideals ⋮ WELL-CENTERED PAIRS OF RINGS ⋮ Toward a classification of prime ideals in Prüfer domains ⋮ Commutative ideal theory without finiteness conditions: Primal ideals ⋮ A sharp Bézout domain is an elementary divisor ring ⋮ Clifford regular domains ⋮ Unnamed Item ⋮ Noetherian Spaces of Integrally Closed Rings with an Application to Intersections of Valuation Rings ⋮ \(R\)-endomorphisms of \(RX_1,\dots ,X_n\) ⋮ Divisorial behavior of prime ideals in Prüfer domains ⋮ The ideal transform and overrings of an integral domain ⋮ On the number of generators of an invertible ideal ⋮ Globalizing local properties of Prüfer domains ⋮ Star operations on overrings of Prüfer domains ⋮ Topological Aspects of Irredundant Intersections of Ideals and Valuation Rings ⋮ Sharpness and semistar operations in Prüfer-like domains ⋮ The transform formula for ideals ⋮ Integrally Closed Domains with Only Finitely Many Star Operations ⋮ The \(S\)-transform and its dual with applications to Prüfer extensions ⋮ Invertible and divisorial ideals of generalized Dedekind domains ⋮ Modules of injective dimension one over Prüfer domains ⋮ Finitely generated intermediate rings ⋮ The residual of finitely generated multiplication modules ⋮ Some properties of divisorial prime ideals in Prüfer domains ⋮ A note on generalized Krull domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Derivations and integral closure
- A class of domains in which primary ideals are valuation ideals
- Overrings of Prüfer domains
- On the complete integral closure of an integral domain of Krull type
- Beiträge zur Arithmetik kommutativer Integritätsbereiche. III. Zum Dimensionsbegriff der Idealtheorie
- A treatise on the 14-th problem of Hilbert
- Overrings of Commutative Rings. II. Integrally Closed Overrings
- On Characterizations of Prüfer Rings.
- Primary Ideals and Valuation Ideals
- A characterization of 𝑄-domains
- Some Counterexamples Related to Integral Closure in x
- On the complete integral closure of an integral domain
- Some Properties of Integral Closure
- On the Theory of Henselian Rings
- Note on integral closures of Noetherian domains
- On Krull's conjecture concerning completely interally closed integrity domains, III
- Integral domains with quotient overrings
- Prüfer rings