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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) Russian version article
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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
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”, 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 Math. USSR-Sb.
\yr 1992
\vol 71
\issue 2
\pages 419--425
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    • 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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