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- W2108198228 abstract "Abstract Assume that (𝒜, ℬ) as well as (𝒞, 𝒟) form cotorsion theories of R-modules where R is an integral domain. For R-modules A,B consider the R-module H = Hom R (A,B). Our main purpose is to get information about conditions on a fixed A (resp., B) when H ∈ 𝒟 for all B ∈ ℬ (resp., H ∈ 𝒟 for all A ∈ 𝒜), and when H ∈ 𝒟 for all A ∈ 𝒜 and B ∈ ℬ. Key Words: Cotorsion theoryFlatInjective and weak-injective modulesMatlis domainMatlis-Enochs-and Warfield-cotorsion modulesProjective and weak dimensionStrongly flat modulesTor-pairTorsion-free2000 Mathematics Subject Classification: Primary 13C11, 13C13Secondary 13D07, 13G05 ACKNOWLEDGMENT Portions of this article were completed while the second author was visiting Tulane University in New Orleans. He expresses his thanks to the Department of Mathematics of Tulane University for the hospitality. We thank the referee for his/her useful comments. Notes Communicated by K. M. Rangaswamy." @default.
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- W2108198228 date "2009-03-10" @default.
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- W2108198228 title "The Functor Hom and Cotorsion Theories" @default.
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- W2108198228 doi "https://doi.org/10.1080/00927870802278602" @default.
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