Results 21 to 30 of about 63,127 (261)

On the Structure of Split δ-Jordan Lie Color Triple Systems

open access: yesJournal of Harbin University of Science and Technology, 2023
The structure of the split δ-Jordan Lie color system is studied, the concept of the split δ-Jordan Lie color system is defined.By developing techniques of connections of roots for δ-Jordan Lie color triple systems, we show that δ-Jordan Lie color triple ...
LUO Fang, CAO Yan
doaj   +1 more source

Lie algebras with a finite number of ideals [PDF]

open access: yesLinear and Multilinear Algebra, 2020
In this paper we focus on the structure of the variety of Lie algebras with a finite number of ideals and their graph representations using Hasse diagrams. The large number of necessary conditions on the algebraic structure of this type of algebras leads to the explicit description of those algebras in the variety with trivial Frattini subalgebra.
Benito, null, Roldán-López, null
openaire   +4 more sources

Semiprime Rings with Multiplicative Generalized Derivations on Lie Ideals

open access: yesCumhuriyet Science Journal, 2017
Let be a torsion free semiprime ring. In [10], a map is called a multiplicativegeneralized derivation if there exists a map such that for all . Let be a noncentral square-closed Lieideal of and multiplicative generalizedderivations associated to the ...
Emine Koç
doaj   +1 more source

Lies, Stories, and Arguments: Can A Callipolis Exist Without the Noble Lie?

open access: yesFelsefe Arkivi, 2023
During the second half of 20th century, Plato’s presentation of a theory of citizenship and government in the Republic has been accused of being totalitarian, racialist, and anti-egalitarian.
Tonguç Seferoğlu
doaj   +1 more source

On Skew Left n-Derivations with Lie Ideal Structure

open access: yesمجلة بغداد للعلوم, 2019
In this paper the centralizing and commuting concerning skew left -derivations and skew left -derivations associated with antiautomorphism on prime and semiprime rings were studied and  the commutativity of Lie ideal under certain conditions were proved.
Faraj et al.
doaj   +1 more source

Generalized derivations acting on Lie ideals in prime rings and Banach algebras

open access: yesМатематичні Студії, 2023
Let $R$ be a prime ring and $L$ a non-central Lie ideal of $R.$ The purpose of this paper is to describe generalized derivations of $R$ satisfying some algebraic identities locally on $L.$ More precisely, we consider two generalized derivations $F_1$ and
A. Hermas, L. Oukhtite, L. Taoufiq
doaj   +1 more source

ON JORDAN IDEAL IN PRIME AND SEMIPRIME INVERSE SEMIRINGS WITH CENTRALIZER

open access: yesAl-Mustansiriyah Journal of Science, 2020
In this paper we recall the definition of centralizer on inverse semiring. Also introduce the definition of Jordan ideal and Lie ideal. Some results of M.A.Joso Vukman on centralizers on semiprime rings are generalized here to inverse semirings.
Rawnaq Khaleel Ibraheem   +1 more
doaj   +1 more source

On ideals of free lie algebras

open access: yesJournal of Pure and Applied Algebra, 1987
It is proved that in a free Lie algebra a nontrivial ideal which has infinite rank may be the whole algebra under certain conditions. It is proved that if F is a free Lie algebra of rank \(> 1\) and L a subalgebra of F such that \(L\supseteq F_{2,2}\) then \(L/F_{2,2}\) is free metabelian if and only if there is a set \(Y\subseteq L\) which is linearly
openaire   +4 more sources

Ideally constrained Lie algebras

open access: yesJournal of Algebra, 2002
The authors study a class of graded Lie algebras satisfying a `narrowness' condition on their lattice of graded ideals. Motivated by analogies with (pro-)\(p\)-groups, they naturally restrict their attention to graded Lie algebras \(L=\bigoplus_{i=1}^{\infty}L_i\) over a field which are generated by \(L_1\).
GAVIOLI, NORBERTO, MONTI V.
openaire   +3 more sources

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