M. V. Ladoshkin, “Structure of an <nobr>$A_\infty$</nobr>-Module over the Polynomial Algebra in Stanley–Reisner rings”, Mat. Zametki, 2007, Volume 82, Issue 2,Pages <nobr>224

This article is cited in 2 papers

Structure of an $A_\infty$-Module over the Polynomial Algebra in Stanley–Reisner rings

M. V. Ladoshkin

Mordovian State University

Abstract: 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, module structure, $A_\infty$-structure, polynomial algebra, face ring, Stanley–Reisner ring, Hochschild complex.

UDC: 512.541

Received: 06.06.2006

DOI: 10.4213/mzm3795