  An exterior differential calculus in the general framework of generalized Lie
algebroids is presented. A theorem of Maurer-Cartan type is obtained. All
results with details proofs are presented and a new point of view over exterior
differential calculus for Lie algebroids is obtained. Using the theory of
linear connections of Ehresmann type presented in the firstt reference, the
identities of Cartan and Bianchi type are presented. Supposing that any vector
subbundle of the pull-back Lie algebroid of a generalized Lie algebroid is
interior differential system (IDS) for that generalized Lie algebroid, then the
involutivity of the IDS in a theorem of Frobenius type is characterized.
Extending the classical notion of exterior differential system (EDS) to
generalized Lie algebroids, then the involutivity of an IDS in a theorem of
Cartan type is characterized.
