… We introduce the notion of coring categories and we obtain … relative group of Azumaya quasi
coring categories. This result … of coring categories and of Azumaya quasi coring categories. …

… for the underlying coring; and in a monoidal bicategory M, … theory of bicategories enriched
in a monoidal bicategory M, … exists a bicategory IconM of M-enriched bicategories whose …

… Indeed, both (pseudomonads and monoidal categories) are instances of the categorified
notion of ‘monoids in monoidal categories’, which is ‘pseudomonoid in monoidal bicategories’. …

18N10 2-categories, bicategories, double categories 18N50 Simplicial sets, simplicial
objects 06A11 Algebraic aspects of posets 16T15 Coalgebras and comodules; corings …

… This section does not require any knowledge of bicategories nor homotopy theory. In order …
necessary bicategorical definitions in later sections. We introduce the different bicategories of …

… a compaction of A if and only if U is the splitting of a coring †-binary idempotent †(u,v) : A −→
… In a linear bicategory, the structure described in Proposition 4.7 is called a linear monad [7]: …

… [13] claims to present a proof for corings in the category of rings (… These categories can be
used to define a bicategory having … of the familiar bicategory RING, having as objects all unital …

… To extend this approach to the bicategories of modules, we considered a generalization
from Hopf bimonoids in a symmetric monoidal category to Hopf comonads in Caten. The crucial …

… [4], briefly presented the construction of the bicategory LGK of Landau-Ginzburg models …
condition to obtain a Morita Context in the bicategory of Landau-Ginzburg models. In this paper, …

After we introduced biwreaths and biwreath-like objects in Femić (J Pure Appl Algebra 223(4):1472–1513,
https://doi.org/10.1016/j.jpaa.2018.06.015 , 2019), in the present paper we …