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On Von Neumann Regular Rings

Published online by Cambridge University Press:  20 November 2018

Kwangil Koh
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Recently, in the Research Problems of Canadian Mathematical Bulletin, Vol. 14, No. 4, 1971, there appeared a problem which asks “Is a prime Von Neumann regular ring pimitive?” While we are not able to settle this question one way or the other, we prove that in a Von Neumann regular ring, there is a maximal annihilator right ideal if and only if there is a minimal right ideal.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 2 , 01 June 1974 , pp. 283 - 284
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Jacobson, N., Structure of rings, Amer. Math. Soc. Colloquim publication, Vol. 37 (1964).Google Scholar