Injective modules and fp-injective modules over valuation rings.

DOI10.1016/S0021-8693(03)00373-9zbMath1060.13003arXivmath/0409519WikidataQ123282563 ScholiaQ123282563MaRDI QIDQ1403906

Francois Couchot

Publication date: 20 August 2003

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

Full work available at URL: https://arxiv.org/abs/math/0409519

zbMATH Keywords

valuation ringuniserial moduleIF-ringlocally injectivealmost maximal ringcountably generated idealfp-injective ring

Mathematics Subject Classification ID

Valuation rings (13F30) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (12)

Flat modules over valuation rings ⋮ Zaks' conjecture on rings with semi-regular proper homomorphic images ⋮ (Non)vanishing results on local cohomology of valuation rings ⋮ Finitistic weak dimension of commutative arithmetical rings ⋮ Indecomposable injective modules of finite Malcev rank over local commutative rings ⋮ LOCAL RINGS OF BOUNDED MODULE TYPE ARE ALMOST MAXIMAL VALUATION RINGS ⋮ Commutative Rings Whose Finitely Generated Ideals are Quasi-Flat ⋮ Pure-injective hulls of modules over valuation rings ⋮ Localization of injective modules over valuation rings ⋮ Trivial extensions subject to semi-regularity and semi-coherence ⋮ On 1-semiregular and 2-semiregular rings ⋮ Σ-semi-compact rings and modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite splitness and finite projectivity
• Relative injectivity and pure-injective modules over Prüfer rings
• Serial modules and endomorphism rings
• On generalized valuation rings
• Rings which have flat injective modules
• On the ring of endomorphisms of an indecomposable injective module over a Prüfer ring
• On the structure of a one-dimensional quotient field
• Injective Modules Over Prufer Rings
• Exemples d'anneaux auto-fp-injectifs
• Pre-Self-Injective Rings
• Coherent Rings and Fp -Injective Modules
• Decomposability of Finitely Presented Modules
• Almost Maximal Valuation Rings
• On finitely injective modules

This page was built for publication: Injective modules and fp-injective modules over valuation rings.