Article contents
Orthogonally Complete Rings
Published online by Cambridge University Press: 20 November 2018
Extract
In this note we continue the study of Abian's order for reduced rings initiated in papers such as [1], [5], [3], [4]. A simple proof is given of Abian's result that taking suprema commutes with ring multiplication. The properties of orthogonally complete rings and of rings satisfying chain conditions with respect to Abian's order are investigated.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1977
References
- 3
- Cited by