Gaussian Trivial Ring Extensions and FQP-rings

DOI10.1080/00927872.2014.907414zbMath1319.13008arXiv1507.02248OpenAlexW1599603675MaRDI QIDQ5500715

Francois Couchot

Publication date: 7 August 2015

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

Full work available at URL: https://arxiv.org/abs/1507.02248

zbMATH Keywords

arithmetical ringBézout ringGaussian ringchain ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Valuation rings (13F30) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (10)

Zaks' conjecture on rings with semi-regular proper homomorphic images ⋮ A construction of Prüfer rings involving quotients of Rees algebras ⋮ Prüfer conditions in the Nagata ring and the Serre’s conjecture ring ⋮ Bi-amalgamations subject to the arithmetical property ⋮ Arithmetical rings ⋮ Commutative Rings Whose Finitely Generated Ideals are Quasi-Flat ⋮ Weak Dimension of FP-injective Modules Over Chain Rings ⋮ Finitistic weak dimensions of pullbacks ⋮ Prüfer conditions in amalgamated algebras ⋮ On 1-semiregular and 2-semiregular rings

Cites Work

• Commutative rings in which every finitely generated ideal is quasi-projective
• Some remarks on elementary divisor rings. II
• Finitistic weak dimension of commutative arithmetical rings
• On Valuation Rings
• Trivial Extensions Defined by Coherent-like Conditions
• Anneaux de Bezout, Hermite et Kaplansky "Universels"
• Arithmetical rings
• Unnamed Item
• Unnamed Item

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