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A simple ring separating certain radicals

Published online by Cambridge University Press:  18 May 2009

G. A. P. Heyman  and
W. G. Leavitt
G. A. P. Heyman
Affiliation:
University of the Orange Free State, Bloemfontein, South Africa
W. G. Leavitt
Affiliation:
University of Nebraska-Lincoln, U. S. A.
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All rings considered will be associative. For a class M of rings let UM be the class of all rings having no non-zero homomorphic image in M. A hereditary class M of prime rings is called a “special class” [see 1, p. 191] if it has the property that when I ∈ M with I an ideal of a ring R, then R/I* ∈ Mwhere I* is the annihilator of I in R, and the corresponding radical class UM is then a “special radical”. Let S be the class of all subdirectly irreducible rings with simple heart.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 16 , Issue 1 , March 1975 , pp. 29 - 31
Copyright
Copyright © Glasgow Mathematical Journal Trust 1975

References

REFERENCES

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