Add to ORKGThe free nonassociative algebra contains two subspaces closed under both the commutator and the associator: the Akivis elements and the primitive elements. Every Akivis element is primitive, but there are primitive elements which are not Akivis
AbstractWe study generalized primitive elements of free algebras of finite ranks with the Nielsen–Sc...
Let $L$ be a free Lie algebra of rank $rgeq2$ over a field $F$ and let $L_n$ denote the degree $n$ h...
We are concerned with the idealizer S of a principal right ideal rR in a free associative algebra R....
AbstractWe construct, for every real β ≥ 2, a primitive affine algebra with Gelfand-Kirillov dimensi...
AbstractLet A be a free associative algebra on a set X. The elements of the Lie subalgebra of A gene...
Let $L$ be a free Lie algebra of finite rank over a field $K$ and let $L_{n}$ denote the degree $n$ ...
AbstractThe shuffle algebra generated by the factors of a given word is shown to be free, with trans...
AbstractSuppose that L is the free Lie algebra generated by k elements. This is a homogeneous algebr...
Free Akivis algebras and primitive elements in their universal enveloping algebras are investigated....
AbstractLet Γ be a countable abelian semigroup satisfying a suitable finiteness condition, and letL=...
AbstractFree Akivis algebras and primitive elements in their universal enveloping algebras are inves...
WOS: 000438906500006Let L be a free Lie algebra of rank r >= 2 over a field F and let L-n denote the...
AbstractAssosymmetric algebras are nonassociative algebras, where (xy)z−x(yz) remains invariant unde...
WOS: 000488869500046Let L be a free Lie algebra of finite rank r >= 2 over a field F and we let L-mi...
Let $L$ be a free Lie algebra of rank $k$ over a field $K$. If $n\geq 1$ then we let $L_n$ denote th...
AbstractWe study generalized primitive elements of free algebras of finite ranks with the Nielsen–Sc...
Let $L$ be a free Lie algebra of rank $rgeq2$ over a field $F$ and let $L_n$ denote the degree $n$ h...
We are concerned with the idealizer S of a principal right ideal rR in a free associative algebra R....
AbstractWe construct, for every real β ≥ 2, a primitive affine algebra with Gelfand-Kirillov dimensi...
AbstractLet A be a free associative algebra on a set X. The elements of the Lie subalgebra of A gene...
Let $L$ be a free Lie algebra of finite rank over a field $K$ and let $L_{n}$ denote the degree $n$ ...
AbstractThe shuffle algebra generated by the factors of a given word is shown to be free, with trans...
AbstractSuppose that L is the free Lie algebra generated by k elements. This is a homogeneous algebr...
Free Akivis algebras and primitive elements in their universal enveloping algebras are investigated....
AbstractLet Γ be a countable abelian semigroup satisfying a suitable finiteness condition, and letL=...
AbstractFree Akivis algebras and primitive elements in their universal enveloping algebras are inves...
WOS: 000438906500006Let L be a free Lie algebra of rank r >= 2 over a field F and let L-n denote the...
AbstractAssosymmetric algebras are nonassociative algebras, where (xy)z−x(yz) remains invariant unde...
WOS: 000488869500046Let L be a free Lie algebra of finite rank r >= 2 over a field F and we let L-mi...
Let $L$ be a free Lie algebra of rank $k$ over a field $K$. If $n\geq 1$ then we let $L_n$ denote th...
AbstractWe study generalized primitive elements of free algebras of finite ranks with the Nielsen–Sc...
Let $L$ be a free Lie algebra of rank $rgeq2$ over a field $F$ and let $L_n$ denote the degree $n$ h...
We are concerned with the idealizer S of a principal right ideal rR in a free associative algebra R....