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Fuzzy Hom–Lie Ideals of Hom–Lie Algebras [PDF]
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
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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
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Derivations on a Lie Ideal [PDF]
Canadian Mathematical Bulletin, 1988 AbstractIn this paper we prove the following result: let R be a prime ring with no non-zero nil left ideals whose characteristic is different from 2 and let U be a non central Lie ideal of R.If d ≠ 0 is a derivation of R such that d(u) is invertible or nilpotent for all u ∈ U, then either R is a division ring or R is the 2 X 2 matrices over a division ...
Silvana Mauceri, Paola Misso
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Generalized derivations acting on Lie ideals in prime rings and Banach algebras
Математичні Студії, 2023 Let $R$ be a prime ring and $L$ a non-central Lie ideal of $R.$ The purpose of this paper is to describe generalized derivations of $R$ satisfying some algebraic identities locally on $L.$ More precisely, we consider two generalized derivations $F_1$ and
A. Hermas, L. Oukhtite, L. Taoufiq
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Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2014 Let R be a 2-torsion free ring and let L be a noncentral Lie ideal of R, and let F:R→R and G:R→R be two generalized derivations of R. We will analyse the structure of R in the following cases: (a) R is prime and F(um)=G(un) for all u∈L and fixed ...
Vincenzo De Filippis +2 more
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Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment [PDF]
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
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Математичні СтудіїLet $\mathcal{R}$ be a prime ring and $L$ a nonzero square closed Lie ideal of $\mathcal{R}$. Suppose $F,G,H\colon \mathcal{R}\to \mathcal{R}$\break are three multiplicative (generalized)-derivations associated with the maps $\delta,g, h\colon \mathcal{R}
B. Dhara
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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
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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
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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
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