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Finite Coverings of Rings by Ideals

Published online by Cambridge University Press:  20 November 2018

M. M. Parmenter*
Affiliation:
Department of Mathematics and Statistics Memorial University of Newfoundland St. John's, Newfoundland A1C 5S7
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Abstract

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Necessary and sufficient conditions are given for a ring to be a union of finitely many proper two-sided ideals.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1994

References

1. Brodie, M. A., R. F Chamberlain and Kappe, L.-C., Finite coverings by normal subgroups, Proc. Amer. Math. Soc. 104(1988), 669674.Google Scholar
2. Lanski, C., Can a semi-prime ring be a finite union of right annihilators?, Canad. Math. Bull. 33(1990), 126128.Google Scholar
3. Neumann, B. H., Groups covered by permutable subsets, J. London Math. Soc. 29(1954), 236248.Google Scholar
4. Neumann, B. H., Groups covered by finitely many cosets, Publ. Math. Debrecen 3(1954), 227242.Google Scholar
5. Parmenter, M. M., Finite coverings by cosets of normal subgroups, Proc. Amer. Math. Soc. 110(1990), 877880.Google Scholar