  Axioms of Lie algebroid are discussed in order to review some known aspects
for non-experts. In particular, it is shown that a Lie QD-algebroid (i.e. a Lie
algebra bracket on the Functions(M)-module F of sections of a vector bundle E
over a manifold M which satisfies [X,fY]=f[X,Y]+A(X,f)Y for all X,Y from F, all
f from Functions(M), and for certain A(X,f) from Functions(M)) is a Lie
algebroid if rank(E)>1, and is a local Lie algebra in the sense of Kirillov if
E is a line bundle. Under a weak condition also the skew-symmetry of the
bracket is relaxed.
