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A Functorial Approach to the Behaviour of Multidimensional Control Systems

Pommaret J. F., Quadrat A.

International Journal of Applied Mathematics and Computer Science

2003

Vol. 13, no 1

7-13

We show how to use the extension and torsion functors in order to compute the torsion submodule of a differential module associated with a multidimensional control system. In particular, we show that the concept of the weak primeness of matrices corresponds to the torsion-freeness of a certain module.