Results 1 to 10 of about 63,028 (162)

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

C-Ideals of Lie Algebras [PDF]

open access: yesCommunications 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 Towers
exaly   +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

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

Lie-Algebra of Single-Valued Pentapartitioned Neutrosophic Set [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
In this article, we procure the concept of single-valued pentapartitioned neutrosophic Lie (in short SVPN-Lie) algebra under single-valued pentapartitioned neutrosophic set (in short SVPN-set) environment.
Suman Das   +3 more
doaj   +1 more source

3-Lie algebras with an ideal N

open access: yesLinear Algebra and Its Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao-Zhong Zhang
exaly   +5 more sources

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

Levi Decomposition of Frobenius Lie Algebra of Dimension 6

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2022
In this paper, we study notion of the Lie algebra  of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal.
Henti Henti, Edi Kurniadi, Ema Carnia
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

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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