RD-Flatness and RD-Injectivity

DOI10.1080/00927870600860817zbMath1113.16010arXivmath/0409551OpenAlexW2003854018MaRDI QIDQ3422810

Francois Couchot

Publication date: 14 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0409551

zbMATH Keywords

flat modulesRD-injectivitycoflat modulesRD-flatness

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Other classes of modules and ideals in associative algebras (16D80) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (18)

Corrigendum to: ``Rings whose cyclic modules are pure-injective or pure-projective ⋮ \textit{RD}-flatness and \textit{RD}-injectivity of simple modules ⋮ Rings whose cyclic modules are pure-injective or pure-projective ⋮ Pure-direct-injective modules ⋮ Unnamed Item ⋮ On the structure of pure-projective modules and some applications ⋮ RD-projective module whose subprojectivity domain is minimal ⋮ Lazard’s theorem for S-pure flat modules ⋮ Relative extensions of modules and homology groups ⋮ Rings over which every \(RD\)-projective module is a direct sum of cyclically presented modules. ⋮ On minimal absolutely pure domain of RD-flat modules ⋮ Rings whose RD-flat modules have restricted subflat domains ⋮ On FC-Purity and I-Purity of Modules and Köthe Rings ⋮ On Divisible and Torsionfree Modules ⋮ A construction of relative left derived functors similar to $\operatorname {Tor}$ ⋮ C-Pure Projective Modules ⋮ Rd-phantom and RD-Ext-phantom morphisms ⋮ On subinjectivity domains of RD-injective modules

Cites Work

• Unnamed Item
• Topologies lineaires and modules Artiniens
• Pure submodules
• On the decomposition of modules and generalized left uniserial rings
• Exemples d'anneaux auto-fp-injectifs
• Rings described by various purities
• Locally finitely presented additive categories
• Modules with RD-Composition Series over a Commutative Ring
• Almost Maximal Valuation Rings

This page was built for publication: RD-Flatness and RD-Injectivity