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The minors of Noetherian semi-perfect rings of distributive module type - MaRDI portal

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The minors of Noetherian semi-perfect rings of distributive module type (Q2703346)

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scientific article
Language Label Description Also known as
English
The minors of Noetherian semi-perfect rings of distributive module type
scientific article

    Statements

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    1 March 2001
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    minors
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    Noetherian semi-perfect rings
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    distributive module type
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    idempotents
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    finitely presented right modules
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    Noetherian biserial rings
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    The minors of Noetherian semi-perfect rings of distributive module type (English)
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    Associative rings with \(1\neq 0\) are considered. The ring \(A\) is called semi-perfect if the factor-ring \(A/R\) is Artinian and idempotents can be lifted modulo the Jacobson radical \(R\). A semi-perfect ring \(A\) is called ring of distributive module type if an arbitrary finitely presented right \(A\)-module is semi-distributive. The author describes the minors of order 3 and 4 of Noetherian semi-perfect rings of distributive module type and proves that all such rings are Noetherian biserial rings.
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