Global dimensions of dual extension algebras (Q1911196)

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scientific article; zbMATH DE number 866147
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Global dimensions of dual extension algebras
scientific article; zbMATH DE number 866147

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    Global dimensions of dual extension algebras (English)
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    24 November 1996
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    The main result is the following Theorem: Let \(C\) be a finite-dimensional basic \(k\)-algebra and \(A\) its dual extension (for the definition see the paper). Then \(\text{gl.dim}(A)=2\text{ gl.dim}(C)\), where \(\text{gl.dim}(A)\) denote the global dimension of the algebra \(A\).
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    finite-dimensional basic algebras
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    dual extensions
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    global dimension
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