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Euclidean Quotient Rings of Z[√−5]

Tiberiu Dumitrescu

Tiberiu Dumitrescu

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Dumitrescu, Tiberiu
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Alexandru Gica

Alexandru Gica

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Gica, Alexandru
  
Dec 10, 2014
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Published Online: Dec 10, 2014
Page range: 121 - 125
Received: Aug 01, 2013
Accepted: Sep 01, 2013
DOI: https://doi.org/10.2478/auom-2014-0010
Keywords
© 2014 Tiberiu Dumitrescu and Alexandru Gica
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

For a prime p, we prove elementarily that the ring Z[√−5, 1/p] is Euclidean if and only if it is a PID iff p = 2 or p is congruent to 3 or 7 modulo 20.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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