nLab gs-monoidal category

Redirected from "gs-monoidal categories".

Context

Monoidal categories

monoidal categories

With braiding

With duals for objects

With duals for morphisms

With traces

Closed structure

Special sorts of products

Semisimplicity

Morphisms

Internal monoids

Examples

Theorems

In higher category theory

Contents

Idea

A gs-monoidal category is a symmetric monoidal category that supplies cocommutative comonoid objects.

For now, see §6.6 of Corradini & Gadducci 1999.

References

The notion originates under the name S-monoidal categories, motivated by term rewriting, in:

  • Fabio Gadducci, On the algebraic approach to concurrent term rewriting, PhD thesis (1996) [pdf, pdf]

after which it was renamed to gs-monoidal categories, in:

Discussion in category theoretic probability theory:

The notion was reintroduced under the name CD-categories (for copy and discard) in:

Last revised on December 20, 2023 at 11:53:20. See the history of this page for a list of all contributions to it.