Büchi Sequences in Local Fields and Local Rings
Tom 58 / 2010
Bulletin Polish Acad. Sci. Math. 58 (2010), 109-115
MSC: Primary 11B83; Secondary 11Sxx.
DOI: 10.4064/ba58-2-2
Streszczenie
We prove that there exist infinite Büchi i sequences in some local rings and local fields, with the exception of the ring of p-adic integers. In {\mathbb Z}_p there are only finite but arbitrarily long Büchi sequences.
