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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.

eISSN:
1844-0835
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Mathematics, General Mathematics