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Gorenstein graded algebras and the evaluation map |
Canad. Math. Bull. 41(1998), 28-32
Published:1998-03-01
Printed: Mar 1998
Printed: Mar 1998
- Yves Félix
- Aniceto Murillo
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 |