Bounds for indices of nilpotency and nility

DOI10.1007/PL00000410zbMath0972.16009OpenAlexW2056985530MaRDI QIDQ1973455

Abraham A. Klein

Publication date: 14 December 2000

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000410

zbMATH Keywords

index of nilpotencygeneric nil rings

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40)

Related Items (7)

Estimates in Shirshov 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. ⋮ Power associative nilalgebras of dimension 9 ⋮ On the nilpotency degree of the algebra with identity \(x^n=0\). ⋮ Indecomposable Invariants of Quivers for Dimension (2,…,2) and Maximal Paths ⋮ COMPUTING NILPOTENT QUOTIENTS OF ASSOCIATIVE ALGEBRAS AND ALGEBRAS SATISFYING A POLYNOMIAL IDENTITY

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