3 papers
math.CT2026
On the (algebraic) notion of 2-ring
Josep Elgueta
By a 2-ring we mean a groupoid with a structure analogous to that of a ring, up to coherent isomorphisms. Two different notions of 2-ring appear in the literature: the notion of {\…
math.CT2025
An alternative description of symmetric monoidal categories, and symmetric 2-groups
Josep Elgueta
An equivalent description of a symmetric monoidal category is introduced in which, instead of separate associator and commutator isomorphisms satisfying the usual coherence axioms,…
math.CT2019
Endomorphisms of the symmetric 2-rig of finite sets
Josep Elgueta
Let be the groupoid of finite sets and bijections between them equipped with the canonical symmetric rig category structure given by the disjoint…