Integrally closed domains with treed overrings

DOI10.1007/S11587-013-0166-4zbMath1301.13007OpenAlexW2082644510MaRDI QIDQ480405

Ahmed Ayache

Publication date: 8 December 2014

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-013-0166-4

zbMATH Keywords

valuation domaindivided domainpseudo-valuation domaintreed domaingoing-down domain

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Valuations and their generalizations for commutative rings (13A18) Extension theory of commutative rings (13B02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

Strongly divided domains ⋮ A direct proof of a theorem concerning treed overrings ⋮ Maximal non-treed subring of its quotient field

Cites Work

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• Locally pseudo-valuation domains
• Universally catenarian integral domains
• Construction B, I, D et anneaux localement ou residuellement de Jaffard. (B, I, D construction and locally or residually Jaffard rings)
• An answer to a Dobbs conjecture about treed domains
• On Jaffard domains
• Topologically defined classes of commutative rings
• Divided rings and going-down
• Pseudo-valuation domains
• Going down
• A note on the dimension theory of rings
• Simple Going Down
• Pairs of Rings with the Same Prime Ideals
• On Going Down For Simple Overrings II
• On Going-Down for Simple Overrings. III
• Universally catenarian and going-down pairs of rings

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