Structure of an \(A_\infty \) -module over the polynomial algebra in Stanley-Reisner rings

DOI10.1134/80001434607070243zbMath1219.55013OpenAlexW2065203451MaRDI QIDQ635561

M. V. Ladoshkin

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/80001434607070243

zbMATH Keywords

Stanley-Reisner ringpolynomial algebrasimple polytopeHochschild complexface ring\(A_{\infty }\)-structuremodule structure

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Loop spaces (55P35) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Cites Work

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• Combinatorics and commutative algebra.
• \(A_\infty\)-modules over \(A_\infty\)-algebras and Hochschild cohomology for modules over algebras.
• Homotopy Associativity of H-Spaces. I

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