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The boundary equivalence for rings and matrix rings over them - MaRDI portal

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The boundary equivalence for rings and matrix rings over them (Q2746912)

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scientific article; zbMATH DE number 1656848
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English
The boundary equivalence for rings and matrix rings over them
scientific article; zbMATH DE number 1656848

    Statements

    11 October 2001
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    associative ring with identity
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    scheme hierarchy
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    scheme-alternative hierarchy
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    decidability boundary
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    matrix rings
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    The boundary equivalence for rings and matrix rings over them (English)
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    The author considers the question of whether associative rings with identity and their associated matrix rings have equal decidability boundaries in the scheme and scheme-alternative hierarchies. An explicit description is presented for the decidability boundary \({\mathcal B}_{SA}(\underline{M}_n(R))\) in the scheme-alternative hierarchy for the case \(R={\mathbb Z}\).
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    Identifiers

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