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Ancestral Rings

Published online by Cambridge University Press:  20 January 2009

Rolando E. Peinado
Rolando E. Peinado
Affiliation:
University of Puerto Rico, Mayaguez, PUERTO RICO
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A ring R is said to be a P-ancestral ring if all proper non-zero sub-rings of R have property P. If p is the property that every proper non-zero sub-ring of R is a (two-sided) ideal then the ring Z of rational integers furnishes an example of a P-ancestral ring.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 15 , Issue 2 , December 1966 , pp. 107 - 109
Copyright
Copyright © Edinburgh Mathematical Society 1966

References

REFERENCES

(1) Jacobson, N., Structure of Rings (A.M.S. Colloq. Pub. vol. 37, Providence,Google Scholar