Test elements for monomorphisms of free lie algebras and lie superalgebras†

DOI10.1080/00927879508825513zbMath0836.17012OpenAlexW2079906792MaRDI QIDQ4857413

A. A. Zolotykh, Alexander A. Mikhalev

Publication date: 1 January 1996

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

Full work available at URL: https://doi.org/10.1080/00927879508825513

zbMATH Keywords

test elementcharacteristic not twofree colour Lie superalgebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Identities, free Lie (super)algebras (17B01)

Related Items (11)

Test elements of direct sums and free products of free Lie algebras ⋮ FIXED ELEMENTS OF NONINJECTIVE ENDOMORPHISMS OF POLYNOMIAL ALGEBRAS IN TWO VARIABLES ⋮ Test elements and retracts of free Lie algebras^‡ ⋮ Separated Lie models and the homotopy Lie algebra ⋮ Test elements, retracts and automorphic orbits. ⋮ Test Elements, Retracts and Automorphic Orbits of Free Algebras ⋮ Generic, almost primitive and test elements of free Lie algebras ⋮ RECOGNIZING AUTOMORPHISMS OF THE FREE COLOR LIE SUPERALGEBRAS ⋮ Primitive elements and automorphisms of free algebras of Schreier varieties ⋮ Test polynomials for automorphisms of polynomial and free associative algebras ⋮ Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property

Cites Work

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• RANK AND PRIMITIVITY OF ELEMENTS OF FREE COLOUR LIE (p-)SUPERALGEBRAS
• On the Rank of an Element of a Free Lie Algebra
• Test Words for Automorphisms of Free Groups

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