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Gorenstein Graded Algebras and the Evaluation Map
Published online by Cambridge University Press: 20 November 2018
Abstract
We consider graded connected Gorenstein algebras with respect to the evaluation map $\text{e}{{\text{v}}_{G\,}}\,=\,\text{Ex}{{\text{t}}_{G}}(k,\varepsilon )\,::\,\text{Ex}{{\text{t}}_{G}}(k,G)\,\to \,\text{Ex}{{\text{t}}_{G}}(k,k)$. We prove that if
$e{{v}_{G}}\,\ne \,0$, then the global dimension of
$G$ is finite.
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- Copyright © Canadian Mathematical Society 1998
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