On the classification of stable domains

DOI10.1006/jabr.2001.8832zbMath1042.13013OpenAlexW2023122773MaRDI QIDQ5949418

Bruce Olberding

Publication date: 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8832

zbMATH Keywords

classification of coherent stable domains

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Integral domains (13G05)

Related Items (26)

Ring-Theoretic Properties of PvMDs ⋮ RATLIFF–RUSH CLOSURE OF IDEALS IN INTEGRAL DOMAINS ⋮ Star stable domains ⋮ Core of ideals in one-dimensional Noetherian domains ⋮ Integral domains with Boolean \(t\)-class semigroup ⋮ Ten Problems on Stability of Domains ⋮ Flat ideals and stability in integral domains ⋮ Core of ideals in integral domains ⋮ On finitely stable domains. II ⋮ Class semigroups of integral domains ⋮ A counterpart to Nagata idealization ⋮ Reductions and Core of Ideals in Integral Domains: Some Recent Developments ⋮ The class semigroup of local one-dimensional domains ⋮ Star stability and star regularity for Mori domains ⋮ On finitely stable domains. I ⋮ On the arithmetic of stable domains ⋮ Finite character of finitely stable domains ⋮ Clifford regular domains ⋮ Integrally closed rings which are Prüfer ⋮ Finite character, local stability property and local invertibility property ⋮ t-class semigroups of integral domains ⋮ Generic formal fibers and analytically ramified stable rings ⋮ w-Stability and Cliffordw-Regularity of Polynomial Rings ⋮ Stability, duality, 2-generated ideals and a canonical decomposition of modules ⋮ ALGEBRAIC ENTROPY OF ENDOMORPHISMS OVER LOCAL ONE-DIMENSIONAL DOMAINS ⋮ Stability and Clifford Regularity with Respect to Star Operations

Cites Work

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• Rings with two-generated ideals
• Model theory.
• Globalizing local properties of Prüfer domains
• Coherentlike conditions in pullbacks
• Stable rings
• Two-generated ideals and representations of Abelian groups over valuation rings
• The ratliff-rush ideals in a noetherian ring
• ON THE STRUCTURE OF STABLE DOMAINS
• Fibres formelles d'un anneau local noethérien
• Stable rings and a problem of Bass

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