After introducing double derivations of $n$-Lie algebra $L$ we‎ ‎describe the relationship between the algebra $mathcal D(L)$ of double derivations and the usual‎ ‎derivation Lie algebra $mathcal Der(L)$‎. ‎In particular‎, ‎we prove that the inner derivation algebra $ad(L)$‎ ‎is an ideal of the double derivation algebra $mathcal D(L)$; we also show that if $L$ is a perfect $n$-Lie algebra‎ ‎wit...

Alzheimer's disease (AD) is the most common form of neurodegenerative disorders. Memory loss in an alert person and impairment in the function of language, attention, perception, judgment or problem solving can occur in patients with AD. However, there are some medications in order to delay the debilitating aspects of the disease; but unfortunately, scientists could not found approaches to cure...