On injective modules and flat modules

T Ishikawa - Journal of the Mathematical Society of Japan, 1965 - jstage.jst.go.jp
In this paper we will first establish a duality between in jectivity and flatness for modules.
That is: Let E be a faithfully in jective module". Then, for each module A, we have W, dim. A …

[引用][C] On injective modules and flat modules

T ISHIKAWA - Math. Soc. Japan, 1965 - cir.nii.ac.jp

On injective modules and flat modules

T ISHIKAWA - Journal of the Mathematical Society of Japan, 1965 - jlc.jst.go.jp
In this paper we will first establish a duality between in jectivity and flatness for modules.
That is: Let E be a faithfully in jective module". Then, for each module A, we have W, dim. A …

[引用][C] On injective modules and flat modules

T ISHIKAWA - J. Math. Soc. Japan, 1965 - dml.mathdoc.fr
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Titre Bibliographie Inclure les e-prints dans la recherche (arXiv, HAL) Rechercher J. Math …

On injective modules and flat modules

T ISHIKAWA - J. Math. Soc. Japan, 1965 - projecteuclid.org
$ A $ is faithfully injective if and only if $ Hom (A, E) $ is faithfully flat (Theorem 1.5). In this
case we have also $ IdA= IdA\otimes M $, where $ M $ is a faithfully flat module, and $ A $ is …

On injective modules and flat modules

T ISHIKAWA - Journal of the Mathematical Society of Japan, 1965 - jlc.jst.go.jp
In this paper we will first establish a duality between in jectivity and flatness for modules.
That is: Let E be a faithfully in jective module". Then, for each module A, we have W, dim. A …

On injective modules and flat modules

T ISHIKAWA - J. Math. Soc. Japan, 1965 - projecteuclid.org
$ A $ is faithfully injective if and only if $ Hom (A, E) $ is faithfully flat (Theorem 1.5). In this
case we have also $ IdA= IdA\otimes M $, where $ M $ is a faithfully flat module, and $ A $ is …