Results 1 to 10 of about 5,611 (257)

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
exaly   +4 more sources

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   +3 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

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   +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

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

A new kind of soft algebraic structures: bipolar soft Lie algebras

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
In this paper, basic concepts of soft set theory was mentioned. Then, bipolar soft Lie algebras and bipolar soft Lie ideals were defined with the help of soft sets. Some algebraic properties of the new concepts were investigated. The relationship between
F. Çıtak
doaj   +1 more source

Complex intuitionistic fuzzy Lie subalgebras under norms [PDF]

open access: yesNotes on IFS
The purpose of this paper is to define the concepts of complex intuitionistic fuzzy Lie subalgebras and complex intuitionistic fuzzy Lie ideals with respect to norms (t-norm T and s-norm S) of Lie subalgebras and discuss their relationship them with Lie ...
Rasul Rasuli
doaj   +1 more source

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