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math.AC2013
A structure theorem for 2-stretched Gorenstein algebras
Gianfranco Casnati, Roberto Notari
In this paper we study the isomorphism classes of local, Artinian, Gorenstein k-algebras A whose maximal ideal M satisfies dim_k(M^3/M^4)=1 by means of Macaulay's inverse system ge…
math.AC2013★ 3 cited
On the rationality of Poincaré series of Gorenstein algebras via Macaulay's correspondence
Gianfranco Casnati, Joachim Jelisiejew, Roberto Notari
Let be a local Artinian Gorenstein ring with algebraically closed residue field of characteristic 0, and let $P_A(z) := \sum_{p=0}^{\infty} ({\mathrm{ Tor}}_p^A…