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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     author = {M. V. Ladoshkin},
     title = {Structure of an $A_\infty${-Module} over the {Polynomial} {Algebra} in {Stanley--Reisner} rings},
     journal = {Matemati\v{c}eskie zametki},
     pages = {224--231},
     publisher = {mathdoc},
     volume = {82},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_2_a6/}
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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/