2-ring

Two rings (disambiguation) In mathematics, a categorical ring is, roughly, a category equipped with addition and multiplication. In other words, a categorical ring is obtained by replacing the underlying set of a ring by a category. For example, given a ring R, let C be a category whose objects are the elements of the set R and whose morphisms are only the identity morphisms. Then C is a categorical ring. But the point is that one can also consider the situation in which an element of R comes with a "nontrivial automorphism".Lurie, J. Jacob Lurie Derived Algebraic Geometry V: Structured Spaces 2004 https://dspace.mit.edu/handle/1721.1/30144 This line of generalization of a ring eventually leads to the notion of an En-ring. See also Categorification Higher-dimensional algebra Lie n-algebra Further reading John Baez, 2-Rigs in Topology and Representation Theory References Laplaza, M. Coherence for distributivity Coherence in categories 29–65 Lecture Notes in Mathematics 281 Springer-Verlag 1972 9783540379584 External links http://ncatlab.org/nlab/show/2-rig Category:Higher category theory