Euclidean Quotient Rings of Z[√−5]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Gica Alexandru¹  Dumitrescu Tiberiu¹ 

[1] Faculty of Mathematics and Informatics, University of Bucharest, 14 Academiei Str., Bucharest, RO 010014, Romania;

关键词: euclidean domain;    pid;   

DOI  :  10.2478/auom-2014-0010

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown