Abstract
We exhibit an isomorphism of associative algebras between the Ext-algebra ExtΛ⁎(Δ,Δ) of standard modules over the dual extension algebra Λ of two directed algebras B and A and the dual extension algebra of the Ext-algebra ExtB⁎(L,L) with A. There are natural A∞-structures on these Ext-algebras, and, under certain technical assumptions on B, we describe that on ExtΛ⁎(Δ,Δ) completely in terms of that on ExtB⁎(L,L). As an example, we compute these A∞-structures explicitly in the case where B=A=KAn/(radKAn)ℓ.
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