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چکیده
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In this paper we study the structure of arbitrary split regular δ-Hom-Jordan-Lie super algebras. By developing techniques of connections of roots for this kind of algebras, we show that such a split regular δHom-Jordan-Lie superalgebra L is of the form L = H[α] ⊕ P [α]∈Λ/∼ V[α] , with H[α] a graded linear subspace of the graded abelian subalgebra H and any V[α] , a well-described ideal of L, satisfying [V[α] , V[β] ] = 0 if [α] 6= [β]. Under certain conditions, in the case of L being of maximal length, the simplicity of the algebra is characterized and it is shown that L is the direct sum of the family of its minimal ideals, each one being a simple split regular δ-Hom-Jordan-Lie superalgebra.
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