On the dimension of a nilpotent algebra.

DOI10.1023/A:1012316416761zbMath1053.16014OpenAlexW87365918MaRDI QIDQ1809986

Bernhard Amberg, Lev S. Kazarin

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012316416761

zbMATH Keywords

finite \(p\)-groupsadjoint groups of \(p\)-algebrasfinite commutative algebras over fields of prime characteristicnilpotent algebras, Eggert conjecture

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Finite nilpotent groups, (p)-groups (20D15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Jacobson radical, quasimultiplication (16N20)

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