Generic, almost primitive and test elements of free Lie algebras

DOI10.1090/S0002-9939-01-06203-7zbMath1063.17003OpenAlexW1720089493MaRDI QIDQ2781287

Jie-Tai Yu, Ualbei Utmakhanbetovich Umirbaev, Alexander A. Mikhalev

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06203-7

zbMATH Keywords

free algebraLie algebraalmost primitive elementgeneric elementtest element

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01)

Related Items

Test elements of direct sums and free products of free Lie algebras ⋮ Test rank of an abelian product of a free Lie algebra and a free abelian Lie algebra ⋮ Primitive and almost primitive elements of Schreier varieties ⋮ Test elements, retracts and automorphic orbits. ⋮ TEST RANK OF THE LIE ALGEBRA F/[R′, F] ⋮ Almost primitive elements of free Lie algebras of small ranks ⋮ RECOGNIZING AUTOMORPHISMS OF THE FREE COLOR LIE SUPERALGEBRAS ⋮ Primitivity rank of elements of free algebras of Schreier varieties ⋮ Primitive elements and automorphisms of free algebras of Schreier varieties ⋮ Free abelian extensions of \(S_{p}\)-permutable algebras ⋮ Test Elements, Generic Elements and Almost Primitivity in Free Products

Cites Work

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• Die Unterringe der freien Lieschen Ringe
• Nullhomologous words in free groups which are not nullhomologous in any proper subgroup
• Recognizing automorphisms of the free groups
• Test words, generic elements and almost primitivity
• Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property
• Generic elements of free groups
• Test elements for endomorphisms of free groups and algebras
• Test Elements, Retracts and Automorphic Orbits of Free Algebras
• Test elements and retracts of free Lie algebras^‡
• RANK AND PRIMITIVITY OF ELEMENTS OF FREE COLOUR LIE (p-)SUPERALGEBRAS
• Test elements for monomorphisms of free lie algebras and lie superalgebras^†
• Test Words for Automorphisms of Free Groups
• On Almost Primitive Elements of Free Groups With an Application to Fuchsian Groups
• Subalgebras of Free Associative Algebras
• Alternierende Produkte in freien Gruppen
• Alternierende Produkte in freien Gruppen