Subexponential estimates in the height theorem and estimates on numbers of periodic parts of small periods.
DOI10.1007/s10958-013-1477-4zbMath1294.16014OpenAlexW2028874352MaRDI QIDQ376143
M. I. Kharitonov, Alexei Kanel-Belov
Publication date: 4 November 2013
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-013-1477-4
nil algebrasnilpotent algebrasword combinatoricsShirshov height theorem\(n\)-divisibilitybounds for nilpotency indices
Combinatorics on words (68R15) Growth rate, Gelfand-Kirillov dimension (16P90) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) (T)-ideals, identities, varieties of associative rings and algebras (16R10)
Related Items
Cites Work
- Two-sided estimates for essential height in Shirshov's height theorem.
- Piecewise periodicity structure estimates in Shirshov's height theorem.
- Indices of nilpotency in a PI-ring
- The origins of combinatorics on words
- Monomial algebras
- Polynomial identity rings.
- On the nilpotency degree of the algebra with identity \(x^n=0\).
- Bounds for indices of nilpotency and nility
- Subexponential estimates in Shirshov's theorem on height
- Some estimations for nilpotence of nill-algebras over a field of an arbitrary characteristic and height theorem
- On the rationality of Hilbert series of relatively free algebras
- The Gel'fand-Kirillov dimension of relatively free associative algebras
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