Ten Problems on Stability of Domains
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Publication:2949001
DOI10.1007/978-1-4939-0925-4_10zbMath1327.13010OpenAlexW149621436MaRDI QIDQ2949001
Publication date: 7 October 2015
Published in: Commutative Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4939-0925-4_10
Projective and free modules and ideals in commutative rings (13C10) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
Related Items
Lattices over Bass rings and graph agglomerations, Open Problems in Commutative Ring Theory, On finitely stable domains. II, On the arithmetic of stable domains
Cites Work
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- Prüfer domains with Clifford class semigroup
- Finite character of finitely stable domains
- Flat ideals and stability in integral domains
- Star stability and star regularity for Mori domains
- On Nagata's theorem for the class group
- Rings with two-generated ideals
- \(t\)-invertibility and Bazzoni-like statements
- Star stable domains
- Bazzoni's conjecture
- Warfield domains
- On Krull domains
- Prestable ideals
- Globalizing local properties of Prüfer domains
- Groups in the class semigroups of valuation domains
- Stable rings
- Two-generated ideals and representations of Abelian groups over valuation rings
- Class semigroups of Prüfer domains
- Ideal class semigroups of overrings
- Reflexive domains
- Stability, duality, 2-generated ideals and a canonical decomposition of modules
- On the ubiquity of Gorenstein rings
- Locally principal ideals and finite character
- Integral Domains in Which Nonzero Locally Principal Ideals are Invertible
- STAR-INVERTIBILITY AND t-FINITE CHARACTER IN INTEGRAL DOMAINS
- Stability and Clifford Regularity with Respect to Star Operations
- RATLIFF–RUSH CLOSURE OF IDEALS IN INTEGRAL DOMAINS
- One-dimensional bad Noetherian domains
- Clifford semigroups of ideals in monoids and domains
- w-Divisoriality in Polynomial Rings
- Ratliff–Rush Closure of Ideals in Pullbacks and Polynomial Rings
- The Local Class Group of a Krull Domain
- The ratliff-rush ideals in a noetherian ring
- The class semigroup of orders in number fields
- Divisorial domains
- Groups in the class semigroup of a prüfer domain of finite character
- ON THE STRUCTURE OF STABLE DOMAINS
- Integral domains in which each non‐zero ideal is divisorial
- Stable Ideals and Arf Rings
- Stable rings and a problem of Bass
- Clifford regular domains
- On the classification of stable domains
