On a proposition of Samuel and 2-stage Euclidean algorithm in global fields

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109251

Title:	On a proposition of Samuel and 2-stage Euclidean algorithm in global fields
Authors:	呂明光;Chen, Ching-An;Leu, Ming-Guang
Contributors:	理學院數學系
Keywords:	2-Stage Euclidean ring;Euclidean ring;Global field;Number field;Order of number field;Quasi-Euclidean ring;Ring of S-integers;ω-Stage Euclidean ring
Date:	2013-01-01
Issue Date:	2026-04-23 16:18:35 (UTC+8)
Publisher:	Academic Press Inc.;Elsevier Inc
Abstract:	摘要： In this article we will extend a proposition of P. Samuel, which is related to the concept of Euclidean domains, to a class of commutative rings with zero divisors. Also we will derive an analog of Samuelʼs proposition for the concept of 2-stage Euclidean rings, and give application to global fields. 出版者： Elsevier Inc 出版日期： 2013-01 出處： Journal of number theory, 2013-01, Vol.133 (1), p.215-225 資源來源： ScienceDirect (Elsevier) Journals 版權： 2012 Elsevier Inc. 識別號： ISSN: 0022-314X 識別號： EISSN: 1096-1658 識別號： DOI: 10.1016/j.jnt.2012.07.009
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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