RANK AND PRIMITIVITY OF ELEMENTS OF FREE COLOUR LIE (p-)SUPERALGEBRAS

DOI10.1142/S021819679400018XzbMath0827.17004OpenAlexW1984032426WikidataQ115245879 ScholiaQ115245879MaRDI QIDQ4697872

A. A. Zolotykh, Alexander A. Mikhalev

Publication date: 12 December 1995

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

Full work available at URL: https://doi.org/10.1142/s021819679400018x

zbMATH Keywords

automorphismfree Lie superalgebraJacobian matrixderivationprimitive elementfree associative algebraFox differential calculus

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Identities, free Lie (super)algebras (17B01) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) Universal enveloping algebras of Lie algebras (16S30) ``Super (or ``skew) structure (16W55)

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STABLE EQUIVALENCE PROBLEMS FOR FREE ALGEBRAS WITH THE NIELSEN-SCHREIER PROPERTY ⋮ Primitive and almost primitive elements of Schreier varieties ⋮ Test elements for monomorphisms of free lie algebras and lie superalgebras^† ⋮ ON ISOMORPHISM OF LIE ALGEBRAS WITH ONE DEFINING RELATION ⋮ Subalgebras of free algebras ⋮ Unnamed Item ⋮ Test Elements, Retracts and Automorphic Orbits of Free Algebras ⋮ Almost primitive elements of free Lie algebras of small ranks ⋮ Generic, almost primitive and test elements of free Lie algebras ⋮ Automorphic orbits in free non-associative algebras ⋮ Primitive elements and automorphisms of free algebras of Schreier varieties ⋮ k-Primitivity and images of primitive elements ⋮ The Magnus representation in congruence modular varieties ⋮ Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property ⋮ Primitive elements of free nonassociative algebras

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