A non-unital algebra in a closed monoidal category is called self-induced if the multiplication
induces an isomorphism between A\otimes_A A and A. For such an algebra, we define …

Liftable pairs of adjoint functors between braided monoidal categories in the sense of [GV1]
provide auto-adjunctions between the associated categories of bialgebras. Motivated by …

We realize module functors and module natural transforms as spans of monoidal categories.
We also discuss the generalizations to algebras and modules within an arbitrary monoidal 2 …

We introduce the notion of a monoidal category enriched in a braided monoidal category.
We set up the basic theory, and prove a classification result in terms of braided oplax …

In this thesis, we construct a tensor product of module categories over a linear rigid
monoidal category, which we call a ladder category. In the case of monoidal module …

There are two dual equivalences between the $\infty $-category of $\mathcal {O} $-monoidal
$\infty $-categories with right adjoint lax $\mathcal {O} $-monoidal functors and that with left …

We introduce Hopf polyads in order to unify Hopf monads and group actions on monoidal
categories. A polyad is a lax functor from a small category (its source) to the bicategory of …

Monoidal categories enriched in a braided monoidal category $\mathcal {V} $ are classified
by braided oplax monoidal functors from $\mathcal {V} $ to the Drinfeld centers of ordinary …

Let $\mathcal {S} $ be a small category, and suppose that we are given two (non-full)
subcategories $\mathcal {S}^{sm} $ and $\mathcal {S}^{cl} $ that generate all morphisms of …

In this dissertation we examine enrichment relations between categories of dual structure
and we sketch an abstract framework where the theory of fibrations and enriched category …