Hopf Monoids in semi-additive Varieties

Abstract

We study Hopf monoids in entropic semi-additive varieties (equivalently, entropic Jónsson-Tarski varieties and categories of semimodules over a commutative semiring, respectively) with an emphasis on adjunctions related to the enveloping monoid functor and the primitive element functor. These investigations are based on the concept of the abelian core of a… (More)

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