Gorenstein graded algebras and the evaluation map

Félix, Yves;Murillo, A.
(1998) Canadian Mathematical Bulletin — Vol. 41, n° 1, p. 28-32 (1998)

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We consider graded connected Gorenstein algebras with respect to the evaluation map ev(G) = Ext(G)(k,epsilon) :: Ext(G)(k,G) --> Ext(G)(k,k). We prove that if ev(G) not equal 0, then the global dimension of G is finite.
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Félix, Y., & Murillo, A. (1998). Gorenstein graded algebras and the evaluation map. Canadian Mathematical Bulletin, 41(1), 28-32. https://hdl.handle.net/2078.5/70471 (Original work published 1998)