A-infinity resolutions and the Golod property for monomial rings
Abstract
Let R=S/I be a monomial ring whose minimal free resolution F is rooted. We describe an A-infinity algebra structure on F. Using this structure, we show that R is Golod if and only if the product on TorS(R,k) vanishes. Furthermore, we give a necessary and sufficient combinatorial condition for R to be Golod.
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