Page 1 Instytut Matematyczny PAN New Series Homological Algebra of Semimodules and
Semicontramodules Page 2 tº Birkhäuser Page 3 Instytut Matematyczny Polskiej Akademii Nauk …

The serre spectral sequence of a noncommutative fibration for de Rham cohomology Page 1
Acta Math., 195 (2005), 155-196 @ 2005 by Institut Mittag-Leffler. All rights reserved The Serre …

We give a formal concept of (right) wide Morita context between two 0-cells in arbitrary
bicategory. We then construct a new bicategory with the same 0-cells as the oldest one, and …

We show that the bicategory whose 0‐cells are corings over rings with local units is bi‐
equivalent to the bicategory of comonads in (right) unital modules whose underlying functors …

We introduce and study comodules over cowreath defined over a given coring. If our coring
arises from an entwining structure, we then give a procedure to construct a cowreath from a …

Publisher Summary A coring is one of the most basic algebraic structures dual to that of a
ring (but also a ring itself can be viewed as a coring). The notion of a coring appeared first in …

A basic theory of cowreath or extended distributive laws in the bicategory of unital
bimodules, is deciphered. Precisely, we give in terms of tensor product over a scalar base …

This work is written as a PhD thesis under the supervision of Professor Stefaan Caenepeel.
The thesis was defended on March 9, 2007 at the Vrije Universiteit Brussel (Free University …

We define a bicategory in which the 0-cells are the entwinings over variable rings. The 1-
cells are triples of a bimodule and two maps of bimodules which satisfy an additional …

We develop a Galois (descent) theory for comonads within the framework of bicategories.
We give generalizations of Beck's theorem and the Joyal-Tierney theorem. Many examples …