Locally finitely presented categories and functor rings
García, J.L. ; Gómez Sánchez, P.L. ; Martínez Hernández, J.
Osaka J. Math., Tome 42 (2005) no. 1, p. 173-187 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
By using the correspondence between locally finitely presented additive categories and rings with enough idempotents, we study several properties of such rings in terms of the associated categories, and conversely. In particular, it is shown that a ring $R$ (with enough idempotents) is right perfect and the categories of finitely presented right and left $R$-modules are dual to each other if and only if the categories of projective and of injective right $R$-modules are equivalent.
Publié le : 2005-03-14
Classification:  
@article{1153494320,
     author = {Garc\'\i a, J.L. and G\'omez S\'anchez, P.L. and Mart\'\i nez Hern\'andez, J.},
     title = {Locally finitely presented categories and functor rings},
     journal = {Osaka J. Math.},
     volume = {42},
     number = {1},
     year = {2005},
     pages = { 173-187},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1153494320}
}

García, J.L.; Gómez Sánchez, P.L.; Martínez Hernández, J. Locally finitely presented categories and functor rings. Osaka J. Math., Tome 42 (2005) no. 1, pp.  173-187. http://gdmltest.u-ga.fr/item/1153494320/