11 citations · 11 across the 5 of their papers we have counts for
6 papers
The history of the General Adjoint Functor Theorem
Hans-E. Porst
Not only motivated by the fact that the publication of the GAFT first appeared 60 years ago in print we reconstruct its history and so show that it is no exaggeration to claim that…
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…
Colimits of monoids
Hans-E. Porst
If is a cocomplete monoidal category in which tensoring from both sides preserves coequalizers, then the category of monoids over is cocomplete. The sam…
Hopf and Lie algebras in semi-additive Varieties
Hans-E. Porst
We study Hopf monoids in entropic semi-additive varieties with an emphasis on adjunctions related to the enveloping monoid functor and the primitive element functor. These investig…
Generalizations of the Sweedler dual
Hans-E. Porst, Ross Street
As left adjoint to the dual algebra functor, Sweedler's finite dual construction is an important tool in the theory of Hopf algebras over a field. We show in this note that the lef…