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Sbornik: Mathematics, 1998, Volume 189, Issue 11, Pages 1685–1700
DOI: https://doi.org/10.1070/sm1998v189n11ABEH000373 (Mi sm373) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Hilbert series and the homology of PI-algebras

D. I. Piontkovskii

Central Economics and Mathematics Institute, RAS
English version PDF (242 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/sm1998v189n11ABEH000373
Abstract: The main goal of this paper is to generalize the criterion for complete intersections well known in commutative algebra to the case of an arbitrary variety of PI-(super)algebras. As a consequence, formulae are obtained for computing the Hilbert series of the even and odd parts of relatively free superalgebras and free special Jordan superalgebras.
Received: 15.01.1998
Bibliographic databases:
UDC: 512.66+512.552+512.554
MSC: Primary 16R10, 16W50, 17A70; Secondary 17A50, 16W55, 13C40, 15A75
Language: English
Original paper language: Russian
Citation: D. I. Piontkovskii, “On Hilbert series and the homology of PI-algebras”, Sb. Math., 189:11 (1998), 1685–1700
Citation in format AMSBIB
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\by D.~I.~Piontkovskii
\paper On Hilbert series and the homology of PI-algebras
\jour Sb. Math.
\yr 1998
\vol 189
\issue 11
\pages 1685--1700
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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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