projective extension
Recently Published Documents


TOTAL DOCUMENTS

4
(FIVE YEARS 0)

H-INDEX

2
(FIVE YEARS 0)



2012 ◽  
Vol 23 (10) ◽  
pp. 1250109
Author(s):  
A. ARDIZZONI ◽  
L. EL KAOUTIT ◽  
C. MENINI

Let [Formula: see text] denote the coendomorphism left R-bialgebroid associated to a left finitely generated and projective extension of rings R → A with identities. We show that the category of left comodules over an epimorphic image of [Formula: see text] is equivalent to the category of chain complexes of left R-modules. This equivalence is monoidal whenever R is commutative and A is an R-algebra. This is a generalization, using entirely new tools, of results by Pareigis and Tambara for chain complexes of vector spaces over fields. Our approach relies heavily on the noncommutative theory of Tannaka reconstruction, and the generalized faithfully flat descent for small additive categories, or rings with enough orthogonal idempotents.





1979 ◽  
Vol 29 (1) ◽  
pp. 116-129
Author(s):  
František Machala
Keyword(s):  


Sign in / Sign up

Export Citation Format

Share Document