Geodesic
Characteristics of fixed points for linear automata over a finite ring
Prikladnaâ diskretnaâ matematika, no. 1 (2008), pp. 126-130

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We investigate the structure of the set of fixed points for mappings that are implemented via initial linear Mealy and Moore automata over the ring $\mathbf Z_{p^k}$. Input symbols that are fixed points for current state of investigated automata are also characterized. 
@article{PDM_2008_1_a20,
     author = {V. V. Skobelev},
     title = {Characteristics of fixed points for linear automata over a finite ring},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {126--130},
     publisher = {mathdoc},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2008_1_a20/}
}
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V. V. Skobelev. Characteristics of fixed points for linear automata over a finite ring. Prikladnaâ diskretnaâ matematika, no. 1 (2008), pp. 126-130. http://geodesic.mathdoc.fr/item/PDM_2008_1_a20/