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