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Gorenstein Graded Algebras and the Evaluation Map

Published online by Cambridge University Press:  20 November 2018

Yves Félix  and
Aniceto Murillo
Yves Félix
Affiliation:
Université Catholique de Louvain Louvain-La-Neuve Belgium
Aniceto Murillo
Affiliation:
Universidad de Málaga Málaga Spain
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Abstract

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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.

Keywords

55P3513C11
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 1 , 01 March 1998 , pp. 28 - 32
Copyright
Copyright © Canadian Mathematical Society 1998

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