Projectivity and flatness over the colour endomorphism ring of a finitely generated graded comodule. (Q846765)

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scientific article; zbMATH DE number 5668355
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Projectivity and flatness over the colour endomorphism ring of a finitely generated graded comodule.
scientific article; zbMATH DE number 5668355

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    Projectivity and flatness over the colour endomorphism ring of a finitely generated graded comodule. (English)
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    9 February 2010
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    The paper under review gives some conditions to test projectivity or flatness of modules over the color endomorphism ring of a finitely generated graded \(\mathcal C\)-comodule, where \(\mathcal C\) is a graded coring. To test projectivity the author proposes two criteria and also formulates one sufficient and one necessary condition. To test flatness the author proposes four criteria of slightly different nature.
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    color algebras
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    bicharacters
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    corings
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    graded rings
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    duals
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    flatness
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    projectivity
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