Results 1 to 10 of about 243 (10)
, 2007 We introduce group corings, and study functors between categories of comodules over group corings, and the relationship to graded modules over graded rings.
Caenepeel, S., Janssen, K., Wang, S. H.
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Separable functors in corings [PDF]
, 2001 We give characterizations of the separability of the induction and ad-induction functors associated to a coring morphism.Comment: 23 ...
Gomez-Torrecillas, J.
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The homotopy theory of coalgebras over a comonad [PDF]
, 2012 Let K be a comonad on a model category M. We provide conditions under which the associated category of K-coalgebras admits a model category structure such that the forgetful functor to M creates both cofibrations and weak equivalences.
Hess, Kathryn, Shipley, Brooke
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, 2019 Contramodules are module-like algebraic structures endowed with infinite summation (or, occasionally, integration) operations satisfying natural axioms. Introduced originally by Eilenberg and Moore in 1965 in the case of coalgebras over commutative rings,
Positselski, Leonid
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, 2002 The notion of a Frobenius coring is introduced, and it is shown that any such coring produces a tower of Frobenius corings and Frobenius extensions. This establishes a one-to-one correspondence between Frobenius corings and extensions.Comment: 8 pages ...
Brzezinski, Tomasz
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Pre-torsors and Galois comodules over mixed distributive laws
, 2008 We study comodule functors for comonads arising from mixed distributive laws. Their Galois property is reformulated in terms of a (so-called) regular arrow in Street's bicategory of comonads.
A. Ardizzoni +17 more
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Categories of comodules and chain complexes of modules
, 2011 Let $\lL(A)$ denote the coendomorphism left $R$-bialgebroid associated to a left finitely generated and projective extension of rings $R \to A$ with identities.
Ardizzoni, A. +2 more
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, 2007 The definition of an S-category is proposed by weakening the axioms of a Q-category introduced by Kontsevich and Rosenberg.
Brzezinski, Tomasz
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Some of the next articles are maybe not open access.
Fundamental Constructions for Coalgebras, Corings, and Comodules
Applied Categorical Structures, 2007If \(\mathcal C\) is a category and \(F\colon\mathcal C\to\mathcal C\) is an endofunctor, then an \(F\)-coalgebra is a pair \((C,\alpha)\), where \(C\) is an object of \(\mathcal C\) and \(\alpha\colon C\to FC\) is a morphism. An \(F\)-coalgebra morphism \(f\colon(C,\alpha)\to(C',\alpha')\) is a \(\mathcal C\)-morphism \(f\colon C\to C'\) such that ...
openaire +1 more source