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Matematicheskie Zametki, 2007, Volume 82, Issue 2, Pages 224–231
DOI: https://doi.org/10.4213/mzm3795 (Mi mzm3795) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

M. V. Ladoshkin

Mordovian State University
Full-text PDF (471 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm3795
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.
Received: 06.06.2006
English version:
Mathematical Notes, 2007, Volume 82, Issue 2, Pages 196–202
DOI: https://doi.org/10.1134/80001434607070243
Bibliographic databases:
UDC: 512.541
Language: Russian
Citation: M. V. Ladoshkin, “Structure of an $A_\infty$-Module over the Polynomial Algebra in Stanley–Reisner rings”, Mat. Zametki, 82:2 (2007), 224–231; Math. Notes, 82:2 (2007), 196–202
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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