Some counterexamples for infinite dimensional Lie algebras
Gary E. Stevens (1978)
Compositio Mathematica
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Displaying similar documents to “On the minimal Lie ideals of a ring with descending chain condition”
Some counterexamples for infinite dimensional Lie algebras
The Lie structure of C* and Poisson algebras
Janusz Grabowski (1985)
Studia Mathematica
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Ideals of finite codimension in contact Lie algebra.
Benalili, Mohammed, Lansari, Azzedine (2001)
Journal of Lie Theory
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The Lie algebra of endomorphisms of an infinite-dimensional vector space
Ian Stewart (1972)
Compositio Mathematica
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Centralizers and Lie ideals
Luisa Carini (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Structure of perfect Lie algebras without center and outer derivations
Saïd Benayadi (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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P-sets and minimal right ideals in ℕ*
W. R. Brian (2015)
Fundamenta Mathematicae
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Recall that a P-set is a closed set X such that the intersection of countably many neighborhoods of X is again a neighborhood of X. We show that if 𝔱 = 𝔠 then there is a minimal right ideal of (βℕ,+) that is also a P-set. We also show that the existence of such P-sets implies the existence of P-points; in particular, it is consistent with ZFC that no minimal right ideal is a P-set. As an application of these results, we prove that it is both consistent with and independent of ZFC that...
On Ideals and Lie Ideals of Compact Operators.
C.K. Fong, H. Radjavi (1983)
Mathematische Annalen
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On the Lie algebra of holomorphic infinitesimal isometries of some classical complex symmetric Banach manifolds
José Isidro (2007)
Open Mathematics
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The Banach-Lie algebras ℌκ of all holomorphic infinitesimal isometries of the classical symmetric complex Banach manifolds of compact type (κ = 1) and non compact type (κ = −1) associated with a complex JB*-triple Z are considered and the Lie ideal structure of ℌκ is studied.