AbstractThe only possible ideals which are finitely generated as subalgebras of a free Lie algebra are the zero ideal or the whole algebra. This should not be understood as “all nontrivial ideals which have infinite rank are proper ideals”.In this paper we prove that a nontrivial ideal which has infinite rank may be the whole algebra under certain conditions
Let F be a free Lie algebra of rank > 1 and S be an ideal of F. Denote by Fm and Fn1 …, nkthe ter...
AbstractIf L = ⊕n≥1Ln is a graded free Lie algebra over a field K and A is a subalgebra of A, let gr...
Let F be a free Lie algebra of finite rank over a field K. We prove that if an ideal 〈v~ ...
AbstractThe only possible ideals which are finitely generated as subalgebras of a free Lie algebra a...
The only possible ideals which are finitely generated as subalgebras of a free Lie algebra are the z...
AbstractIf L = ⊕n≥1Ln is a graded free Lie algebra over a field K and A is a subalgebra of A, let gr...
AbstractLet L be a free Lie algebra over a field k, I a non-trivial proper ideal of L, n > 1 an inte...
AbstractLet L be a free Lie algebra over a field k, I and J non-trivial proper ideals of L. If I+J≠L...
This paper investigates ideals in free polynilpotent Lie algebras. In §2 it is shown that if S is a ...
AbstractWe study generalized primitive elements of free algebras of finite ranks with the Nielsen–Sc...
WOS: A1992KA99800013Let F be a free Lie algebra of rank > 1 and S be an ideal of F. Denote by F(m) a...
WOS: A1991EZ83000002This paper investigates ideals in free polynipotent Lie algebras. In section 2 i...
AbstractWe introduce the notion of Gröbner S-basis of an ideal of the free associative algebra K〈X〉 ...
If L = ?n?1Ln is a graded free Lie algebra over a field K and A is a subalgebra of A, let gr A (resp...
TEZ8912Tez (Doktora) -- Çukurova Üniversitesi, Adana, 2013.Kaynakça (s. 99-100) var.v, 101 s. : res....
Let F be a free Lie algebra of rank > 1 and S be an ideal of F. Denote by Fm and Fn1 …, nkthe ter...
AbstractIf L = ⊕n≥1Ln is a graded free Lie algebra over a field K and A is a subalgebra of A, let gr...
Let F be a free Lie algebra of finite rank over a field K. We prove that if an ideal 〈v~ ...
AbstractThe only possible ideals which are finitely generated as subalgebras of a free Lie algebra a...
The only possible ideals which are finitely generated as subalgebras of a free Lie algebra are the z...
AbstractIf L = ⊕n≥1Ln is a graded free Lie algebra over a field K and A is a subalgebra of A, let gr...
AbstractLet L be a free Lie algebra over a field k, I a non-trivial proper ideal of L, n > 1 an inte...
AbstractLet L be a free Lie algebra over a field k, I and J non-trivial proper ideals of L. If I+J≠L...
This paper investigates ideals in free polynilpotent Lie algebras. In §2 it is shown that if S is a ...
AbstractWe study generalized primitive elements of free algebras of finite ranks with the Nielsen–Sc...
WOS: A1992KA99800013Let F be a free Lie algebra of rank > 1 and S be an ideal of F. Denote by F(m) a...
WOS: A1991EZ83000002This paper investigates ideals in free polynipotent Lie algebras. In section 2 i...
AbstractWe introduce the notion of Gröbner S-basis of an ideal of the free associative algebra K〈X〉 ...
If L = ?n?1Ln is a graded free Lie algebra over a field K and A is a subalgebra of A, let gr A (resp...
TEZ8912Tez (Doktora) -- Çukurova Üniversitesi, Adana, 2013.Kaynakça (s. 99-100) var.v, 101 s. : res....
Let F be a free Lie algebra of rank > 1 and S be an ideal of F. Denote by Fm and Fn1 …, nkthe ter...
AbstractIf L = ⊕n≥1Ln is a graded free Lie algebra over a field K and A is a subalgebra of A, let gr...
Let F be a free Lie algebra of finite rank over a field K. We prove that if an ideal 〈v~ ...
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