Results 61 to 70 of about 68,056 (301)

Solvable complemented Lie algebras. [PDF]

open access: yes, 2012
In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
core  

Lie Ideals in Operator Algebras

open access: yes, 2002
Let $\mathcal A$ be a Banach algebra for which the group of invertible elements is connected. A subspace $\mathcal L \subseteq \mathcal A$ is a Lie ideal in $\mathcal A$ if, and only if, it is invariant under inner automorphisms. This applies, in particular, to any canonical subalgebra of an AF \ensuremath{\text{C}^{*}}-algebra.
Hopenwasser, Alan, Paulsen, Vern
openaire   +3 more sources

On generalized Lie derivations of Lie ideals of prime algebras

open access: yesLinear Algebra and its Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liao, Ping-Bao, Liu, Cheng-Kai
openaire   +1 more source

Clinical Significance of Therapeutic Drug Level Monitoring for Mycophenolate in Patients With Extrarenal Systemic Lupus Erythematosus—A Systematic Review and Meta‐Analysis

open access: yesArthritis Care &Research, EarlyView.
Objective Clinical response to mycophenolic acid (MPA) is highly heterogeneous; thus, therapeutic drug level monitoring (TDM) may help improve treatment efficacy. This systematic review and meta‐analysis examined therapeutic ranges for MPA levels associated with better outcomes and safety in patients with systemic lupus erythematosus (SLE ...
Zahraa Qamhieh   +5 more
wiley   +1 more source

The Frattini p-subalgebra of a solvable Lie p-algebra [PDF]

open access: yes, 1997
In this paper we continue our study of the Frattini p-subalgebra of a Lie p-algebra L. We show first that if L is solvable then its Frattini p-subalgebra is an ideal of L. We then consider Lie p-algebras L in which L^2 is nilpotent and find necessary and
Towers, David, Lincoln, Mark
core  

A filtration associated to an abelian inner ideal of a Lie algebra. [PDF]

open access: yes, 2022
Let B be an abelian inner ideal and let KerL B be the kernel of B. In this paper we show that when there exists n ∈ N with [B,KerL B] n ⊂ B, the inner ideal B induces a bounded filtration in L where B is the first nonzero submodule of the filtration and ...
Gómez Lozano, Miguel   +5 more
core   +1 more source

Higher Derivations on Lie Ideals

open access: yesTEMA - Tendências em Matemática Aplicada e Computacional, 2002
Summary: We present a brief proof of a recently proved result [\textit{M. Ferrero} and \textit{C. Haetinger}, Quaest. Math. 25, No. 2, 249-257 (2002; Zbl 1009.16036), Corollary 1.4]. The main result states that if \(R\) is a prime ring of characteristic different from 2 and \(U\) is a Lie ideal of \(R\) where \(U\not\subset Z(R)\), the center of \(R\),
openaire   +4 more sources

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

open access: yesInternational Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam   +2 more
wiley   +1 more source

NORMS OVER FUZZY LIE ALGEBRA

open access: yesJournal of New Theory, 2017
Abstaract−In this paper we introduce the concept of fuzzy Lie ideal and anti fuzzy Lie ideal by using a t-norm T and a t-conorm C, respectively. Next we introduce the concept of quotient fuzzy Lie ideal with respect to t-norm T. We investigate some their
Rasul Rasuli
doaj  

Primary ideals of Lie algebras

open access: yes, 2021
Let L be a not necessarily finite dimensional Lie algebra. The popular concepts of prime and primary ideals in ring theory were introduced in Lie algebras by \textit{N. Kawamoto} [Hiroshima Math. J. 4, 679--684 (1974; Zbl 0303.17008)] and \textit{F. Aldosray} [The ideal and subideal structure of Lie algebras. University of Warwick (PhD Thesis) (1984)].
Ashour, Arwa   +2 more
openaire   +1 more source

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