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The injective hull of a module with FGD - MaRDI portal

The injective hull of a module with FGD (Q584359)

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scientific article; zbMATH DE number 4134256
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English
The injective hull of a module with FGD
scientific article; zbMATH DE number 4134256

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    The injective hull of a module with FGD (English)
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    1989
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    The author proves some elementary results about modules of finite Goldie dimension and their injective hulls. For example Theorem 3.2 shows in effect that if M is a torsion-free module of finite Goldie dimension n over a right Ore domain R then the injective hull E(M) of M is isomorphic to the direct sum of n copies of E(R).
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    modules of finite Goldie dimension
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    injective hulls
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    torsion-free module
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    right Ore domain
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