Results 1 to 10 of about 470,840 (277)

Fuzzy Hom–Lie Ideals of Hom–Lie Algebras

Axioms, 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   +7 more sources

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.
David A Towers
exaly   +9 more sources

C#-IDEALS OF LIE ALGEBRAS [PDF]

Journal 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

Higher Derivations on Lie Ideals

Trends 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

Intuitionistic Fuzzy Lie Ideals of Lie Algerbas

Honam Mathematical Journal, 2007
The notion of intuitionistic fuzzy Lie ideal of a Lie algebra is introduced, and related properties are investigated. Characterizations of an intuitionistic fuzzy Lie ideal are provided. Using a collection of Lie ideals, an intuitionistic fuzzy Lie ideal is established.
Young-Bae Jun, Chul-Hwan Park
exaly   +2 more sources

Quadripartitioned neutrosophic pythagorean lie subalgebra [PDF]

Journal 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]

Journal 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

Wasit 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

Extracta 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

Journal 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