Abstract
In 1971, Samuel generalized Motzkin's idea to give a characterization of Euclidean rings. In this article we will show, from Motzkin and Samuel's point of view, that the concept of the restricted Nagata's pairwise algorithm should exist in the world of mathematics much earlier than the Euclidean algorithm.
| Original language | English |
|---|---|
| Pages (from-to) | 807-818 |
| Number of pages | 12 |
| Journal | Osaka Journal of Mathematics |
| Volume | 45 |
| Issue number | 3 |
| State | Published - Sep 2008 |