  The Hochschild and (cotriple) cyclic homologies of crossed modules of
(not-necessarily-unital) associative algebras are investigated. Wodzicki's
excision theorem is extended for inclusion crossed modules in the category of
crossed modules of algebras. The cyclic and cotriple cyclic homologies of
crossed modules are compared in terms of long exact homology sequence,
generalising the relative cyclic homology exact sequence.
