JP Journal of Algebra, Number Theory and Applications
Volume 25, Issue 2, Pages 113 - 132
(June 2012)
|
|
THE FUNCTOR CATEGORY OF A FINITELY ACCESSIBLE ADDITIVE CATEGORY
Mustafa Kemal BerktaÅŸ and Pedro A. Guil Asensio
|
Abstract: In this note, we prove that if is a finitely accessible additive category, then for every object there exists a pure monomorphism from A to a quasi-product of indecomposable pure injective objects in This quasi-product is, indeed, a flat cover of direct product of these indecomposable pure injective objects. Our method is to embed a finitely accessible category into a locally finitely presented Grothendieck category with enough projective objects. |
Keywords and phrases: accessible categories, Grothendieck categories, limit, pure injective object. |
|
Number of Downloads: 425 | Number of Views: 1268 |
|