Results 31 to 40 of about 68,056 (301)
Some properties of Camina and $n$-Baer Lie algebras [PDF]
Journal of Mahani Mathematical ResearchLet $I$ be a non-zero proper ideal of a Lie algebra $L$. Then $(L, I)$ is called a Camina pair if $I \subseteq [x,L]$, for all $x \in L\setminus I$. Also, $L$ is called a Camina Lie algebra if $(L, L^2)$ is a Camina pair. We first give some properties of
Maryam Ghezelsoflo +3 more
doaj +1 more source
Concerning strong Lie ideals [PDF]
Proceedings of the American Mathematical Society, 1960 Let A be a simple ring of characteristic 5 2 or 3, with either its center Z = (0) or of dimension greater than 16 over its center, and with an involution defined on it. Let S and K be the sets of symmetric and skew elements respectively. The Lie and Jordan products are [u, v] =uv-vu and uov=uv+vu.
openaire +1 more source
Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment
International Journal of Computational Intelligence Systems, 2023 The picture fuzzy set was introduced by Coung. It is a generalization of the intuitionistic fuzzy set, giving the notion of neutral membership degrees along with the positive and negative ones.
Sajida Kousar +3 more
doaj +1 more source
Solvable Lie A-algebras. [PDF]
, 2011 A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A., David A. Towers
core +1 more source
Semiprime Rings with Multiplicative Generalized Derivations on Lie Ideals
Cumhuriyet 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
On the derivations of cyclic Leibniz algebras
Karpatsʹkì Matematičnì Publìkacìï, 2022 Let $L$ be an algebra over a field $F$. Then $L$ is called a left Leibniz algebra, if its multiplication operation $[-,-]$ additionally satisfies the so-called left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$. A linear
M.M. Semko, L.V. Skaskiv, O.A. Yarovaya
doaj +1 more source
Generalized Derivations With Left Annihilator Conditions in Prime and Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2017 Let R be a prime ring with its Utumi ring of quotients U, C = Z(U) be the extended centroid of R, H and G two generalized derivations of R, L a noncentral Lie ideal of R, I a nonzero ideal of R.
Dhara Basudeb
doaj +1 more source
On the Structure of Split δ-Jordan Lie Color Triple Systems
Journal 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]
Linear 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, Pilar, Roldán-López, Jorge
openaire +2 more sources
On functional identities involving n-derivations in rings [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we explore various properties associated with the traces of permuting $n$-derivations satisfying certain functional identities that operate on a Lie ideal within prime and semiprime rings.
Vaishali Varshney +3 more
doaj +1 more source