Results 11 to 20 of about 470,840 (277)
Lie algebras with a finite number of ideals [PDF]
Linear and Multilinear Algebra, 2020 In this paper we focus on the structure of the variety of Lie algebras with a finite number of ideals and their graph representations using Hasse diagrams. The large number of necessary conditions on the algebraic structure of this type of algebras leads to the explicit description of those algebras in the variety with trivial Frattini subalgebra.
Benito, null, Roldán-López, null
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The Lattice of Ideals of a Lie Algebra
Journal of Algebra, 1995 In this paper the Lie algebras in which the lattice formed by the ideals is complemented or complemented and distributive are classified. Moreover, it is shown that the derived algebra (arbitrary characteristic) and the solvable radical (characteristic zero) can be characterized in terms of the ideal lattice structure.
Pilar Benito Clavijo, M. [0000-0001-8122-6359] +1 more
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Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment
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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On Derivations and Lie Ideals of Semirings
Mathematica 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
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A new kind of soft algebraic structures: bipolar soft Lie algebras
Karpatsʹkì 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
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On Groups whose Subnormal Abelian Subgroups are Normal [PDF]
Advances in Group Theory and Applications, 2022 In the current paper we study the groups, whose subnormal abelian subgroups are normal. We obtained a quite detailed description of such hyperabelian groups with a periodic Baer radical.
L.A. Kurdachenko +2 more
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Lie algebras with a small number of ideals [PDF]
, 1992 We determine the Lie algebras such that their number of ideals is at most five. A complete classification is given of the solvable Lie algebras in this class over algebraically closed fields of characteristic zero and the real ...
M.Pilar Benito Clavijo +1 more
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On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic. [PDF]
, 2008 This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. It is shown that, in certain circumstances, including for all solvable algebras, for all restricted Lie algebras over ...
Towers, David A.
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Solvable complemented Lie algebras. [PDF]
, 2012 In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
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Complex intuitionistic fuzzy Lie subalgebras under norms [PDF]
Notes on IFSThe 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
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