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Orthogonally Complete Rings

Published online by Cambridge University Press:  20 November 2018

R. Raphael  and
W. Stephenson
R. Raphael
Affiliation:
Department of Mathematics, Concordia University, Montreal, Canada on Leave at Département de Mathématiques, Université de Poitiers, Poitiers, France
W. Stephenson
Affiliation:
Department of Mathematics, McGill University, Montreal
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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
Canadian Mathematical Bulletin , Volume 20 , Issue 3 , 01 September 1977 , pp. 347 - 351
Copyright
Copyright © Canadian Mathematical Society 1977

References

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