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When is Every Kernel Functor Idempotent?

Published online by Cambridge University Press:  20 November 2018

Jorge E. Viola-Prioli*
Affiliation:
Universidad de Oriente, Cutnana, Venezuela
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Introduction. All rings occurring are associative and possess a unity, which is preserved under subrings and ring homomorphisms. All modules are unitary right modules. We denote the category of rights-modules.

In recent years several authors have studied rings R by imposing restrictions on the torsion theories [4] of . (See for instance [2; 23; 24].) This paper offers another alternative to that trend, namely the study of rings R via their set of kernel functors K﹛R).

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1975