Euclidean Quotient Rings of Z[√−5]

Tiberiu Dumitrescu; Alexandru Gica

doi:10.2478/auom-2014-0010

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Euclidean Quotient Rings of Z[√−5]

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 22 (2014): Issue 1 (March 2014)

By: Tiberiu Dumitrescu and Alexandru Gica

Open Access

|Dec 2014

Abstract

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.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2014-0010 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 121 - 125

Submitted on: Aug 1, 2013

Accepted on: Sep 1, 2013

Published on: Dec 10, 2014

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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© 2014 Tiberiu Dumitrescu, Alexandru Gica, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 22 (2014): Issue 1 (March 2014)