International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 71, Pages 4501-4509
doi:10.1155/S0161171203209418
Atomical Grothendieck categories
C. Năstăsescu1
and B. Torrecillas2
1Faculty of Mathematics, University of Bucharest, Bucharest 1 RO 70109, Romania
2Departmento de Álgebra y Análisis Matemático, Universidad de Almería, Almería 04071, Spain
Abstract
Motivated by the study of Gabriel dimension of a Grothendieck category, we introduce the concept of atomical Grothendieck category, which has only two localizing subcategories, and we give a classification of this type of Grothendieck categories.