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2018 $A_{\infty}$–resolutions and the Golod property for monomial rings
Robin Frankhuizen
Algebr. Geom. Topol. 18(6): 3403-3424 (2018). DOI: 10.2140/agt.2018.18.3403

Abstract

Let R=SI be a monomial ring whose minimal free resolution F is rooted. We describe an A–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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Robin Frankhuizen. "$A_{\infty}$–resolutions and the Golod property for monomial rings." Algebr. Geom. Topol. 18 (6) 3403 - 3424, 2018. https://doi.org/10.2140/agt.2018.18.3403

Information

Received: 11 October 2017; Revised: 16 April 2018; Accepted: 16 June 2018; Published: 2018
First available in Project Euclid: 27 October 2018

zbMATH: 06990068
MathSciNet: MR3868225
Digital Object Identifier: 10.2140/agt.2018.18.3403

Subjects:
Primary: 13D07, 13D40, 16E45, 55S30

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 6 • 2018
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