Generalizing the concept of quantum triads
Radek Šlesinger · EPiC series in computing · 2018
The concept of quantum triad has been introduced by D. Kruml, where for a given pair of quantale modules L, R over a common quantale Q, endowed with a bimorphism (a `bilinear map') to Q, a construction equipping L and R with additional module structure and another bimorphism, both compatible with the existing bimorphism and action of the quantale, was presented. As the original concept was only defined in a specific setting of categories of quantale modules, we extend it to a more universal one, which can be applied to other common algebraic structures.