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math.CT2022
Multipliers of a semigroup object in a monoidal category
Laurent Poinsot
The monoid of multipliers of a semigroup object in a monoidal category is introduced, arising from an abstraction of the definition of the translational hull of an ordinary semigro…
math.CT2021
The algebra of Feistel-Toffoli schemes
Laurent Poinsot, Hans-E Porst
The process of replacing an arbitrary Boolean function by a bijective one, a fundamental tool in reversible computing and in cryptography, is interpreted algebraically as a particu…
math.CT2020
Internal Coalgebras in Cocomplete Categories: Generalizing the Eilenberg-Watts-Theorem
Laurent Poinsot, Hans-E Porst
The category of internal coalgebras in a cocomplete category with respect to a variety is equivalent to the category of left adjoint functors from $\mat…