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.
@article{bwmeta1.element.bwnjournal-article-amcv13i1p7bwm,
author = {Pommaret, Jean-Fran\c cois and Quadrat, Alban},
title = {A functorial approach to the behaviour of multidimensional control systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {13},
year = {2003},
pages = {7-13},
zbl = {1040.93510},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv13i1p7bwm}
}
Pommaret, Jean-François; Quadrat, Alban. A functorial approach to the behaviour of multidimensional control systems. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) pp. 7-13. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv13i1p7bwm/
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