Büchi Sequences in Local Fields and Local Rings
Jerzy Browkin
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010), p. 109-115 / Harvested from The Polish Digital Mathematics Library
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We prove that there exist infinite Büchi i sequences in some local rings and local fields, with the exception of the ring ℤp of p-adic integers. In ℤp there are only finite but arbitrarily long Büchi sequences.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:281139 
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     author = {Jerzy Browkin},
     title = {B\"uchi Sequences in Local Fields and Local Rings},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {58},
     year = {2010},
     pages = {109-115},
     zbl = {1222.11039},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-2-2}
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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) pp. 109-115. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-2-2/