Abstract
In the present note, we show that the notion of a Euclid ring may be defined as below, and then it is quite easy to prove that the direct sum of a finite number of Euclid rings is again a Euclid ring.
Citation
Masayoshi Nagata. "Some remarks on Euclid rings." J. Math. Kyoto Univ. 25 (3) 421 - 422, 1985. https://doi.org/10.1215/kjm/1250521062
Information
Published: 1985
First available in Project Euclid: 17 August 2009
zbMATH: 0592.13016
MathSciNet: MR807488
Digital Object Identifier: 10.1215/kjm/1250521062
Subjects:
Primary:
13F07
Rights: Copyright © 1985 Kyoto University