Quasi-copure submodules (Q2788805)

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scientific article; zbMATH DE number 6543553
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Quasi-copure submodules
scientific article; zbMATH DE number 6543553

    Statements

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    22 February 2016
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    multiplication module
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    arithmetical ring
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    copure submodule
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    radical of submodules
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    Quasi-copure submodules (English)
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    In the first section, the author provides foundational material of pure and related modules. In the second section, he introduces the notion of quasi-copure submodules of a multiplication module and provides one example of it. Basically, the main corpus of this paper can be divided into two parts. In the first, the author investigates some general properties of quasi-copure submodules. In particular, he shows that the sum of two quasi-copure submodules is quasi-copure. In the second part, he studies some properties over finitely generated faithful multiplication modules in terms of tensor product, pure idempotent submodules, etc.
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