Valuation and Pseudovaluation Subrings of an Integral Domain

DOI10.1080/00927870600650515zbMath1105.13028OpenAlexW2131483093MaRDI QIDQ5489290

Ahmed Ayache, Othman Echi

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600650515

zbMATH Keywords

valuation domainKrull dimensionpseudovaluation domain

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Integral domains (13G05) Valuation rings (13F30) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)

Related Items

A note on pairs of rings with the same prime ideals ⋮ Δ-Extension of rings and invariance properties of ring extension under group action ⋮ Maximal non valuation domains in an integral domain ⋮ A note on imbedded prime divisors

Cites Work

• Construction B, I, D et anneaux localement ou residuellement de Jaffard. (B, I, D construction and locally or residually Jaffard rings)
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Topologically defined classes of commutative rings
• Residually algebraic pairs of rings
• Universally Incomparable Ring-Homomorphisms
• Pairs of Rings with the Same Prime Ideals
• On chained overrings of pseudo-valuation rings
• POWERFUL IDEALS, STRONGLY PRIMARY IDEALS, ALMOST PSEUDO-VALUATION DOMAINS, AND CONDUCIVE DOMAINS
• Cancellation ideals in pseudo-valuation domains