| Autonomicity and the absence of free variables for behaviors over finite rings (2006) | |||||||||||
Abstract | |||||||||||
| The equivalence between autonomicity and the absence of free variables is a well-known result for linear, shift-invariant and complete behaviors over a field. However, this no longer holds for a behavior that does not satisfy one of those properties. In this paper we consider linear, shift-invariant and complete behaviors over $\mathbb{Z}_{p^r}$ and study under which conditions such behaviors are autonomous and/or have no free variables. | |||||||||||
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