4 citations · 7 across the 8 of their papers we have counts for
12 papers
Bi-representable bi-multicategories
Bojana Femić
We prove a two-dimensional version of Hermida's equivalence result on representable multicategories and classify its stricter versions. The obtained three-dimensional equivalence o…
Categorical centers and Yetter--Drinfel`d-modules as 2-categorical (bi)lax structures
Bojana Femić, Sebastian Halbig
The bicategorical point of view provides a natural setting for many concepts in the representation theory of monoidal categories. We show that centers of twisted bimodule categorie…
The semibicategory of Moore automata
Guido Boccali, Bojana Femić, Andrea Laretto +2
We study the semibicategory of "Moore automata": an arrangement of objects, 1- and 2-cells which is inherently and irredeemably nonunital in dimension one. Between t…
Bifunctor Theorem and strictification tensor product for double categories with lax double functors
Bojana Femić
We introduce a candidate for the inner hom for , the category of strict double categories and lax double functors, and characterize a lax double functor into it obta…
Internalization and enrichment via spans and matrices in a tricategory
Bojana Femić, Enrico Ghiorzi
We introduce categories $\M$ and internal in the tricategory $\Bicat_3$ of bicategories, pseudofunctors, pseudonatural transformations and modifications, for matrices and spans…
Enrichment and internalization in tricategories, the case of tensor categories and alternative notion to intercategories
Bojana Femić
This paper emerged as a result of tackling the following three issues. Firstly, we would like the well known embedding of bicategories into pseudo double categories to be monoidal,…
Alternative notion to intercategories: part I. A tricategory of double categories
Bojana Femić
This is a first of a series of two papers. Our motive is to tackle the question raised in Böhm's "The Gray Monoidal Product of Double Categories" from Applied Categorical Structure…
A bicategorical approach to actions of monoidal categories
Bojana Femić
We characterize in terms of bicategories actions of monoidal categories to representation categories of algebras. For that purpose we introduce cocycles in any 2-category $\K$ and…
Paired wreaths: towards a 2-categorical atlas of cross products
Bojana Femić
After we introduced biwreaths and biwreath-like objects in our previous paper, in the present one we define paired wreaths. In a paired wreath there is a monad and a comonad $F…
Biwreaths: a self-contained system in a 2-category that encodes different known algebraic constructions and gives rise to new ones
Bojana Femić
We introduce bimonads in a 2-category $\K$ and define biwreaths as bimonads in the 2-category $\bEM(\K)$ of bimonads, in the analogous fashion as Lack and Street defined wreaths. A…
Eilenberg-Watts Theorem for 2-categories and quasi-monoidal structures for module categories over bialgebroid categories
Bojana Femić
We prove Eilenberg-Watts Theorem for 2-categories of the representation categories $\C\x\Mod$ of finite tensor categories $\C$. For a consequence we obtain that any autoequivalence…
The Hopf automorphism group and the quantum Brauer group in braided monoidal categories
Bojana Femić
With the motivation of giving a more precise estimation of the quantum Brauer group of a Hopf algebra over a field we construct an exact sequence containing the quantum Bra…