On the Tor Algebra Structure of Codepth Four Gorenstein Rings Obtained by Doubling

• In a recent work with Pedro Macias Marques and Jerzy Weyman we prove that Artinian Gorenstein algebras of codepth four and socle degree three are obtained by a doubling construction from generically Gorenstein rings of codepth three. In this talk, based on a joint work with Jai Laxmi, I will discuss how the Tor Algebra structure transfers from one ring to another through this construction.

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