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Kernel functors for which the associated idempotent kernel functor is stable

Published online by Cambridge University Press:  18 May 2009

J. N. Manocha
J. N. Manocha
Affiliation:
Kent State University, East Liverpool Campus, East Liverpool, Ohio 43920, U.S.A.
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Let R be a ring with unity and let denote the category of unital right R-modules. A preradical γ of is a functor γ: → such that

(i) γ(M) ⊆ M for each R-module M,

(ii) for f:M → N, γ(f) is the restriction of f to γ(M).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 16 , Issue 2 , September 1975 , pp. 103 - 106
Copyright
Copyright © Glasgow Mathematical Journal Trust 1975

References

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