Relations for Grothendieck groups of quasi-hereditary algebras (Q2732538)

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scientific article; zbMATH DE number 1623831
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Relations for Grothendieck groups of quasi-hereditary algebras
scientific article; zbMATH DE number 1623831

    Statements

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    2 April 2002
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    categories of good modules
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    Grothendieck groups
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    quasi-hereditary algebras
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    Relations for Grothendieck groups of quasi-hereditary algebras (English)
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    Let \(A\) be a quasi-hereditary algebra, \(F(\Delta)\) the category of \(\Delta\)-good modules over \(A\). The author obtains the relations of the Grothendieck group of \(F(\Delta)\), and characterizes the \(F(\Delta)\)-finite quasi-hereditary algebras and the directed algebras with finite representation type.
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