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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, 13C11 show english descriptions Loop spaces
Injective and flat modules and ideals
55P35 - Loop spaces
13C11 - Injective and flat modules and ideals
 

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