Algebraic approach to transformations on hypercube system (Q1275792)

Summary: Some algebraic transformations on a hypercube system are proposed. The presented transformations of forbidden subcubes provide a defining set of all maximal and nonfaulty subcubes, and a subset of minimal and nonfaulty subcubes including certain given vertices. It provides formal and simple findings of all the current sources and targets of information, and also the pathways between them. The correctness of all these transformations is proved by the aif of the three theorems. In the proposed transformations there were applied three special operations of cube algebra, as subtraction, product and intersection on coordinates.