[图书][B] Corings and comodules

T Brzezinski, R Wisbauer - 2003 - books.google.com
This is the first extensive treatment of the theory of corings and their comodules. In the first
part, the module-theoretic aspects of coalgebras over commutative rings are described …

[图书][B] Frobenius and separable functors for generalized module categories and nonlinear equations

S Caenepeel, G Militaru, S Zhu - 2004 - books.google.com
Doi-Koppinen Hopf modules and entwined modules unify various kinds of modules that
have been intensively studied over the past decades, such as Hopf modules, graded …

[PDF][PDF] Monads of effective descent type and comonadicity

B Mesablishvili - Theory Appl. Categ, 2006 - emis.icm.edu.pl
We show, for an arbitrary adjunction F⊢ U: B→ A with B Cauchy complete, that the functor F
is comonadic if and only if the monad T on A induced by the adjunction is of effective …

Galois corings from the descent theory point of view

S Caenepeel - arXiv preprint math/0311377, 2003 - arxiv.org
arXiv:math/0311377v1 [math.RA] 21 Nov 2003 Page 1 arXiv:math/0311377v1 [math.RA] 21
Nov 2003 Fields Institute Communications Volume 00, 0000 Galois corings from the …

Geometric partial comodules over flat coalgebras in Abelian categories are globalizable

P Saracco, J Vercruysse - Journal of Pure and Applied Algebra, 2024 - Elsevier
The aim of this paper is to prove the statement in the title. As a by-product, we obtain new
globalization results in cases never considered before, such as partial corepresentations of …

Comonads and Galois corings

J Gómez-Torrecillas - Applied Categorical Structures, 2006 - Springer
Comonads and Galois Corings Page 1 Appl Categor Struct (2006) 14:579–598 DOI 10.1007/s10485-006-9049-0
Comonads and Galois Corings J. Gómez-Torrecillas Received: 7 March 2006 / Accepted …

On the finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory.

L El Kaoutit, J Gómez-Torrecillas - 2021 - projecteuclid.org
The main aim of this paper is to give a Hopf algebroid approach to the Picard-Vessiot theory
of linear differential matrix equations with coefficients in the polynomial complex algebra. To …

Rational modules for corings

JY Abuhlail - Communications in Algebra, 2003 - Taylor & Francis
The so called dense pairings were studied mainly by Radford in his work on coreflexive
coalegbras over fields. They were generalized in a joint paper with Gómez-Torricillas and …

Infinite comatrix corings

L El Kaoutit, J Gómez-Torrecillas - International Mathematics …, 2004 - ieeexplore.ieee.org
We characterize the corings whose category of comodules has a generating set of small
projective comodules in terms of the (noncommutative) descent theory. In order to extricate …

[HTML][HTML] Flat base change formulas for (g, K)-modules over Noetherian rings

T Hayashi - Journal of Algebra, 2018 - Elsevier
Flat base change formulas for (g,K)-modules over Noetherian rings - ScienceDirect Skip to
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