PI-algebras generated by nilpotent elements of bounded index

DOI10.1006/jabr.1996.6940zbMath0879.16012OpenAlexW2087416283MaRDI QIDQ1359012

David M. Riley

Publication date: 21 January 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6940

zbMATH Keywords

Engel conditionsPI-algebrasalgebras generated by nilpotent elementsLie soluble algebrasnil algebras of bounded index

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 (9)

Group algebras and enveloping algebras with nonmatrix and semigroup identities ⋮ When is a power of the Frobenius map on a noncommutative ring a homomorphism? ⋮ Non-matrix polynomial identity enveloping algebras ⋮ Lie solvable enveloping algebras of characteristic two ⋮ Lie identities on enveloping algebras of restricted Lie superalgebras ⋮ Solvability of Poisson algebras ⋮ Lie structure of smash products ⋮ Characterization of non-matrix varieties of associative algebras. ⋮ Behaviour of the Frobenius map in a noncommutative world

Cites Work

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• Lie ideals in group rings
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• On the Lie ideals of a ring
• On Lie nilpotent group rings
• On Engel-Lie algebras
• The Baer condition for group algebras
• Power closure and the Engel condition
• A Lie Property in Group Rings
• Lie Dimension Subgroups, Lie Nilpotency Indices, and the Exponent of the Group of Normalized Units
• Restricted Lie Algebras and Their Envelopes
• Lie Solvable Rings
• Rings with a polynomial identity
• On rings whose associated Lie rings are nilpotent
• Factorization of n-Soluble and n-Nilpotent Groups

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