Quotient Category of a Multiring Category

The aim of this paper is to introduce a tensor structure for the quotient category of an abelian monoidal category with biexact tensor product in order to make the canonical funtor be a monoidal functor. In this tensor product, we prove that the quotient category of a multiring category (resp. a multitensor category) is still a multiring category (resp. a multitensor category).