Results 11 to 20 of about 61,050 (267)
Ideally constrained Lie algebras
Journal 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 +2 more sources
Jurnal Matematika UNAND, 2019 Suatu himpunan tak kosong R yang memenuhi aksioma tertentu, ada yang dikatakan grup dan ada yang dikatakan ruang vektor. Suatu aljabar Lie L adalah ruang vektor atas lapangan F dengan perkalian [ , ] yang disebut Bracket Lie dan memenuhi beberapa aksioma
Sa'dha Dwi Meitia +2 more
doaj +1 more source
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
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
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
C-Ideals of Lie Algebras [PDF]
Communications in Algebra, 2009 A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L = B + C and B \cap C \leq B_L, where B_L is the largest ideal of $L$ contained in B. This is analogous to the concept of c-normal subgroup, which has been studied by a number of authors.
openaire +3 more sources
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 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
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
Lies, Stories, and Arguments: Can A Callipolis Exist Without the Noble Lie?
Felsefe 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