Research objectives and content The project aims at: Investigating the homological properties (Hoschild and cyclic (co)homology of algebres defined by monominal relations. This will be done with the help of minimal resolutions fine grading and symbolic computation. Taking part in the development of GL, a programming language suitable for demanding mathematical applications. Training content (objective, benefit and expected impact) Broadening of competence in relevant areas (algebraic topology, category theory, K-theory). Acquiring new competence in computer science. This will make it possible to do more relevant mathematical research, as well as doing valuable contributions to the GL project. Links with industry / industrial relevance (22) The GL project involves both academic and industrial partners.