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Some Almost Simple Rings

Published online by Cambridge University Press:  20 November 2018

Paul Hill
Paul Hill*
Affiliation:
Florida State University, Tallahassee, Florida
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Herein, a ring is not required to have an identity. All rings are associative but not necessarily commutative. However, we specialize to the commutative case for some of our results. The paper is concerned primarily with rings having the property that all unbounded ideals or all unbounded homomorphic images are isomorphic to the ring. We say that a ring R is bounded if nR = 0 for some positive integer n; alternately, R, with or without 1, is said to have finite characteristic. Unbounded rings having the property that all proper subrings are bounded were characterized in [8].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 2 , April 1973 , pp. 290 - 302
Copyright
Copyright © Canadian Mathematical Society 1973

References

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