THE TRANSFER OF A COMMUTATOR IDENTITY IN A NIL-GENERATED ALGEBRA

DOI10.1142/S0218196702000754zbMath1010.16019OpenAlexW2043052786MaRDI QIDQ4786327

Alexei Krasilnikov, David M. Riley

Publication date: 15 December 2002

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196702000754

zbMATH Keywords

nilpotent generatorsLie commutator identitiesgroup commutator identities

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Quasivarieties and varieties of groups (20E10) Units, groups of units (associative rings and algebras) (16U60)

Related Items

A 5-Engel associative algebra whose group of units is not 5-Engel

Cites Work

• On the Lie ideals of a ring
• On unit groups of Lie centre-by-metabelian algebras
• Lie centrally metabelian group rings
• Nonmatrix varieties and nil-generated algebras whose units satisfy a group identity
• Transfer of commutator laws in rational algebras
• The Transfer of a Commutator Law from a Nil-Ring to its Adjoint Group