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Mathematics of the USSR-Sbornik, 1992, Volume 71, Issue 2, Pages 419–425
DOI: https://doi.org/10.1070/SM1992v071n02ABEH001402 (Mi sm1247) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On nilpotency of graded associative algebras

A. D. Chanyshev

M. V. Lomonosov Moscow State University
English version PDF (384 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1992v071n02ABEH001402
Abstract: It is proved that an associative PI-algebra over a field of characteristic zero that is graded by an arbitrary semigroup and that satisfies the relation $a^n=0$ for all homogeneous elements and is generated by a finite number of its homogeneous components is nilpotent. This generalizes a well-known theorem of M. Nagata.
Received: 18.07.1989
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 11, Pages 1573–1579
Bibliographic databases:
UDC: 512.554
MSC: Primary 16W50, 16R10; Secondary 16N40
Language: English
Original paper language: Russian
Citation: A. D. Chanyshev, “On nilpotency of graded associative algebras”, Mat. Sb., 181:11 (1990), 1573–1579; Math. USSR-Sb., 71:2 (1992), 419–425
Citation in format AMSBIB
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\by A.~D.~Chanyshev
\paper On nilpotency of graded associative algebras
\jour Mat. Sb.
\yr 1990
\vol 181
\issue 11
\pages 1573--1579
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..71..419C}
\transl
\jour Math. USSR-Sb.
\yr 1992
\vol 71
\issue 2
\pages 419--425
\crossref{https://doi.org/10.1070/SM1992v071n02ABEH001402}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992HU58600010}
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  • https://doi.org/10.1070/SM1992v071n02ABEH001402
  • https://www.mathnet.ru/eng/sm/v181/i11/p1573
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
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    Abstract page:241
    Russian version PDF:82
    English version PDF:6
    References:36
    First page:1
     
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