23 citations · 42 across the 16 of their papers we have counts for
18 papers
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…
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…
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…
Hilbertian Frobenius algebras
Laurent Poinsot
Commutative Hilbertian Frobenius algebras are those commutative semi-group objects in the monoidal category of Hilbert spaces, for which the Hilbert adjoint of the multiplication s…
Topological rigidity as a monoidal equivalence
Laurent Poinsot
A topological commutative ring is said to be rigid when for every set , the topological dual of the -fold topological product of the ring is isomorphic to the free module ove…
Linear induction algebra and a normal form for linear operators
Laurent Poinsot
The set of natural integers is fundamental for at least two reasons: it is the free induction algebra over the empty set (and at such allows definitions of maps by primitive recurs…