Euclidean Quotient Rings of Z[√−5]
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2014-12-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/auom-2014-0010 |