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# Gorenstein graded algebras and the evaluation map

Published:1998-03-01
Printed: Mar 1998
• Yves Félix
• Aniceto Murillo
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## Abstract

We consider graded connected Gorenstein algebras with respect to the evaluation map $\ev_G = \Ext_G(k,\varepsilon )=:: \Ext_G(k,G) \longrightarrow \Ext_G(k,k)$. We prove that if $\ev_G \neq 0$, then the global dimension of $G$ is finite.
 MSC Classifications: 55P35 - Loop spaces 13C11 - Injective and flat modules and ideals