[图书][B] Homological algebra of semimodules and semicontramodules: Semi-infinite homological algebra of associative algebraic structures
L Positselski - 2010 - books.google.com
Page 1 Instytut Matematyczny PAN New Series Homological Algebra of Semimodules and
Semicontramodules Page 2 tº Birkhäuser Page 3 Instytut Matematyczny Polskiej Akademii Nauk …
Semicontramodules Page 2 tº Birkhäuser Page 3 Instytut Matematyczny Polskiej Akademii Nauk …
The Serre spectral sequence of a noncommutative fibration for de Rham cohomology
EJ Beggs, T Brzeziński - 2005 - projecteuclid.org
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 …
Acta Math., 195 (2005), 155-196 @ 2005 by Institut Mittag-Leffler. All rights reserved The Serre …
Wide Morita contexts in bicategories
LE Kaoutit - arXiv preprint math/0608601, 2006 - arxiv.org
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 …
bicategory. We then construct a new bicategory with the same 0-cells as the oldest one, and …
Corings over rings with local units
LE Kaoutit - Mathematische Nachrichten, 2009 - Wiley Online Library
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 …
equivalent to the bicategory of comonads in (right) unital modules whose underlying functors …
Extended distributive law: cowreath over corings
L El Kaoutit - Journal of Algebra and Its Applications, 2010 - World Scientific
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 …
arises from an entwining structure, we then give a procedure to construct a cowreath from a …
Comodules and corings
T Brzeziński - Handbook of algebra, 2009 - Elsevier
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 …
ring (but also a ring itself can be viewed as a coring). The notion of a coring appeared first in …
[PDF][PDF] Galois theory for corings and comodules
J Vercruysse - 2007 - Citeseer
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 …
The thesis was defended on March 9, 2007 at the Vrije Universiteit Brussel (Free University …
Extended distributive law: Co-wreath over co-rings
LE Kaoutit - arXiv preprint math/0612818, 2006 - arxiv.org
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 …
bimodules, is deciphered. Precisely, we give in terms of tensor product over a scalar base …
Bicategory of entwinings
Z Škoda - arXiv preprint arXiv:0805.4611, 2008 - arxiv.org
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 …
cells are triples of a bimodule and two maps of bimodules which satisfy an additional …
Galois theory in bicategories
J Gomez-Torrecillas, J Vercruysse - arXiv preprint arXiv:0711.3642, 2007 - arxiv.org
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 …
We give generalizations of Beck's theorem and the Joyal-Tierney theorem. Many examples …