Geodesic
Structure of an $A_\infty$-Module over the Polynomial Algebra in Stanley--Reisner rings
Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 224-231.

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It is proved that face rings of a simple polytope admit no nontrivial $A_\infty$-extension of the module structure over the polynomial algebra.
Keywords: simple polytope, $A_\infty$-structure, face ring, Stanley–Reisner ring, Hochschild complex.
Mots-clés : module structure, polynomial algebra 
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M. V. Ladoshkin. Structure of an $A_\infty$-Module over the Polynomial Algebra in Stanley--Reisner rings. Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 224-231. http://geodesic.mathdoc.fr/item/MZM_2007_82_2_a6/

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