Results 1 to 10 of about 3,670 (165)

C#-IDEALS OF LIE ALGEBRAS [PDF]

open access: yesJournal of Algebraic Systems, 2021
Let $L$ be a finite dimensional Lie algebra. A subalgebra $H$ of $L$ is called a $c^{\#}$-ideal of $L$, if there is an ideal $K$ of $L$ with $L=H+K$ and $H\cap K$ is a $CAP$-subalgebra of $L$.
L. Goudarzi
doaj   +3 more sources

Fuzzy Hom–Lie Ideals of Hom–Lie Algebras

open access: yesAxioms, 2023
In the given study, we intended to gain familiarity with the idea of fuzzy Hom–Lie subalgebras (ideals) of Hom–Lie algebras. It primarily seeks to study a few of their properties.
Shadi Shaqaqha
doaj   +3 more sources

Higher Derivations on Lie Ideals

open access: yesTrends in Computational and Applied Mathematics, 2002
In this paper we present a brief proof of a recently proved result [5, Corollary 1.4]. The main result states that if R is a prime ring of characteristic different of 2 and U is a Lie ideal of R where U 6½ Z(R), the center of R, u2 2 U for all u 2 U, and
C. HAETINGER
doaj   +4 more sources

Quadripartitioned neutrosophic pythagorean lie subalgebra [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2021
A Quadripartitioned Neutrosophic Pythagorean (QNP) set is a powerful general format framework that generalizes the concept of Quadripartitioned Neutrosophic Sets and Neutrosophic Pythagorean Sets.
R. Radha, A. Stanis Arul Mary
doaj   +1 more source

Complex fuzzy lie subalgebras and complex fuzzy ideals under t-norms [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2023
In this paper, we define the conceps of complex fuzzy Lie subalgebras and complex fuzzy ideals of Lie algebras with respect to t-norms and investigate some of characteristics and relationship between them.
Rasul Rasuli
doaj   +1 more source

Jordan-Lie Inner Ideals of the Orthogonal Lie Algebras

open access: yesWasit Journal of Computer and Mathematics Science, 2022
Let  be an associative algebra over a field F of any characteristic with involution *  and let K=skew(A)={a in A|a*=-a} be its corresponding sub-algebra under the Lie product [a,b]=ab-ba for all a,b in A .
Falah Saad Kareem, Hasan M. Shlaka
doaj   +1 more source

Results on Lie ideals of prime ringswith homoderivations

open access: yesExtracta Mathematicae, 2023
Let R be a prime ring of characteristic not 2 and U be a noncentral square closed Lie ideal of R. An additive mapping Hon R is called a homoderivation if H(xy) =H(x)H(y)+H(x)y+xH(y)for all x, y∈R. In this paper we investigate homoderivations satisfying
A. Sarikaya, O. Gölbasi
doaj   +3 more sources

Homoderivations in Prime Rings

open access: yesJournal of New Theory, 2023
The study consists of two parts. The first part shows that if $h_{1}(x)h_{2}(y)=h_{3}(x)h_{4}(y)$, for all $x,y\in R$, then $ h_{1}=h_{3}$ and $h_{2}=h_{4}$. Here, $h_{1},h_{2},h_{3},$ and $h_{4}$ are zero-power valued non-zero homoderivations of a prime
Neşet Aydın, Ayşe Engin
doaj   +1 more source

Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment

open access: yesInternational 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 Derivations and Lie Ideals of Semirings

open access: yesMathematica Pannonica, 2022
In this paper, centralizing (semi-centralizing) and commuting (semi-commuting) derivations of semirings are characterized. The action of these derivations on Lie ideals is also discussed and as a consequence, some significant results are proved. In addition, Posner’s commutativity theorem is generalized for Lie ideals of semirings and this result is ...
Dadhwal, Madhu, Neelam
openaire   +2 more sources

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