Functors

Preradical

In mathematics, a preradical is a subfunctor of the identity functor in the category of left modules over a ring with identity. The class of all preradicals over R-mod is denoted by R-pr. There is a natural order in R-pr given by, for any two preradicals and , , if for any left R-module M, . With this order R-pr becomes a big lattice. (Wikipedia).

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Related pages

Subfunctor | Mathematics