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Funktsional'nyi Analiz i ego Prilozheniya, 2001, Volume 35, Issue 2, Pages 64–69
DOI: https://doi.org/10.4213/faa246 (Mi faa246) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the Hilbert Series of Koszul Algebras

D. I. Piontkovskii

Central Economics and Mathematics Institute, RAS
Full-text PDF (116 kB) Citations (9)
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DOI: https://doi.org/10.4213/faa246
Abstract: A family of examples is obtained which shows that, generally, it is impossible to decide for known Hilbert series of a qudratic algebra and its dual algebra whether or not this algebra has the Koszul property. The simplest example is given by two finitely generated algebras concentrated at the degrees not exceeding five; one of these algebras is monomial, while the other is not a Koszul algebra. This proves the conjecture of Positselskii [pos].
Received: 28.10.1999
English version:
Functional Analysis and Its Applications, 2001, Volume 35, Issue 2, Pages 133–137
DOI: https://doi.org/10.1023/A:1017531316398
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: D. I. Piontkovskii, “On the Hilbert Series of Koszul Algebras”, Funktsional. Anal. i Prilozhen., 35:2 (2001), 64–69; Funct. Anal. Appl., 35:2 (2001), 133–137
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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