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Some estimations for nilpotence of nill-algebras over a field of an arbitrary characteristic and height theorem

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Publication:4033142
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DOI10.1080/00927879208824497zbMath0810.16023OpenAlexW1963525885MaRDI QIDQ4033142

Alexei Kanel-Belov

Publication date: 16 May 1993

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879208824497

zbMATH Keywords

heightnilpotent algebrasShirshov height theoremnilpotence degreenil- algebras


Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) (T)-ideals, identities, varieties of associative rings and algebras (16R10)


Related Items

Estimates in Shirshov height theorem, Piecewise periodicity structure estimates in Shirshov's height theorem., Polynomial bound for the nilpotency index of finitely generated nil algebras, Subexponential estimates in the height theorem and estimates on numbers of periodic parts of small periods., On the nilpotency degree of the algebra with identity \(x^n=0\)., Burnside-type problems, theorems on height, and independence., Monomial algebras



Cites Work

  • Rings with a polynomial identity
  • On a problem of A. Kurosch
  • Unnamed Item
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