Büchi Sequences in Local Fields and Local Rings
Bulletin of the Polish Academy of Sciences. Mathematics (2010)
- Volume: 58, Issue: 2, page 109-115
- ISSN: 0239-7269
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topJerzy Browkin. "Büchi Sequences in Local Fields and Local Rings." Bulletin of the Polish Academy of Sciences. Mathematics 58.2 (2010): 109-115. <http://eudml.org/doc/281139>.
@article{JerzyBrowkin2010,
abstract = {We prove that there exist infinite Büchi i sequences in some local rings and local fields, with the exception of the ring $ℤ_p$ of p-adic integers. In $ℤ_p$ there are only finite but arbitrarily long Büchi sequences.},
author = {Jerzy Browkin},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Büchi sequence; local field; local ring},
language = {eng},
number = {2},
pages = {109-115},
title = {Büchi Sequences in Local Fields and Local Rings},
url = {http://eudml.org/doc/281139},
volume = {58},
year = {2010},
}
TY - JOUR
AU - Jerzy Browkin
TI - Büchi Sequences in Local Fields and Local Rings
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2010
VL - 58
IS - 2
SP - 109
EP - 115
AB - We prove that there exist infinite Büchi i sequences in some local rings and local fields, with the exception of the ring $ℤ_p$ of p-adic integers. In $ℤ_p$ there are only finite but arbitrarily long Büchi sequences.
LA - eng
KW - Büchi sequence; local field; local ring
UR - http://eudml.org/doc/281139
ER -
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