Geodesic
Büchi Sequences in Local Fields and Local Rings
Jerzy Browkin1
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 2, pp. 109-115.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that there exist infinite Büchi i sequences in some local rings and local fields, with the exception of the ring ${\mathbb Z}_p$ of $p$-adic integers. In ${\mathbb Z}_p$ there are only finite but arbitrarily long Büchi sequences.
DOI : 10.4064/ba58-2-2
Keywords: prove there exist infinite chi sequences local rings local fields exception ring mathbb p adic integers mathbb there only finite arbitrarily long chi sequences

Jerzy Browkin 1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland 
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Jerzy Browkin. Büchi Sequences in Local Fields and Local Rings. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 2, pp. 109-115. doi : 10.4064/ba58-2-2. http://geodesic.mathdoc.fr/articles/10.4064/ba58-2-2/

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