Displaying similar documents to “Hereditary tensor-orthogonal theories”

Non-singular precovers over polynomial rings

Ladislav Bican (2006)

Commentationes Mathematicae Universitatis Carolinae

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One of the results in my previous paper , preprint, Corollary 3, states that for every hereditary torsion theory τ for the category R -mod with τ ≥ σ , σ being Goldie’s torsion theory, the class of all τ -torsionfree modules forms a (pre)cover class if and only if τ is of finite type. The purpose of this note is to show that all members of the countable set 𝔐 = { R , R / σ ( R ) , R [ x 1 , ⋯ , x n ] , R [ x 1 , ⋯ , x n ] / σ ( R [ x 1 , ⋯ , x n ] ) , n < ω } of rings have the property that the class of all non-singular left modules forms a (pre)cover class if and only if this holds for an...

Strongly graded left FTF rings.

José Gómez, Blas Torrecillas (1992)

Publicacions Matemàtiques

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An associated ring R with identity is said to be a left FTF ring when the class of the submodules of flat left R-modules is closed under injective hulls and direct products. We prove (Theorem 3.5) that a strongly graded ring R by a locally finite group G is FTF if and only if R is left FTF, where e is a neutral element of G. This provides new examples of left FTF rings. Some consequences of this Theorem are given.

Kasch bimodules

D. N. Dikranjan, E. Gregorio, A. Orsatti (1991)

Rendiconti del Seminario Matematico della Università di Padova

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