Group identities on the units of algebraic algebras with applications to restricted enveloping algebras.

DOI10.1016/j.jalgebra.2008.02.024zbMath1151.16034arXivmath/0701690OpenAlexW2031450580MaRDI QIDQ934080

Salvatore Siciliano, Eric Jespers, David M. Riley

Publication date: 29 July 2008

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

Full work available at URL: https://arxiv.org/abs/math/0701690

zbMATH Keywords

unitsgroups of unitspolynomial identitiesenveloping algebrasrestricted Lie algebrasgroup identitiesalgebraic algebrasGI-algebrasLie solvable algebraslocally finite algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Universal enveloping (super)algebras (17B35) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Units, groups of units (associative rings and algebras) (16U60) Universal enveloping algebras of Lie algebras (16S30)

Related Items (3)

Some identities on twisted group algebras ⋮ Some algebraic algebras with Engel unit groups ⋮ Additive mappings and identities on unit groups of algebraic algebras

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