@article{8541c38536d24b0dbf8dadfab6c9cf46,
title = "On a proposition of Samuel and 2-stage Euclidean algorithm in global fields",
abstract = "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 Samuel's proposition for the concept of 2-stage Euclidean rings, and give application to global fields.",
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",
author = "Chen, {Ching An} and Leu, {Ming Guang}",
year = "2013",
month = jan,
doi = "10.1016/j.jnt.2012.07.009",
language = "???core.languages.en_GB???",
volume = "133",
pages = "215--225",
journal = "Journal of Number Theory",
issn = "0022-314X",
number = "1",
}