# Information entropy re-defined in a category theory context using preradicals

@article{SebastianPardo2021InformationER, title={Information entropy re-defined in a category theory context using preradicals}, author={G. SebastianPardo and Gabriel A. Silva}, journal={ArXiv}, year={2021}, volume={abs/2112.06034} }

Algebraically, entropy can be defined for abelian groups and their endomorphisms, and was latter extended to consider objects in a Flow category derived from abelian categories, such as R-Mod with R a ring. Preradicals are endofunctors which can be realized as compatible choice assignments in the category where they are defined. Here we present a formal definition of entropy for preradicals on R-Mod and show that the concept of entropy for preradicals respects their order as a big lattice. Also…

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