1. On the Atomic Dimension in Module Categories.
- Author
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Pérez, JaimeCastro, Raggi, Francisco, Montes, JoséRíos, and Berg, Johnvan den
- Subjects
- *
MODULES (Algebra) , *RING theory , *TORSION theory (Algebra) , *LATTICE theory , *ISOMORPHISM (Mathematics) , *CATEGORIES (Mathematics) - Abstract
This article is concerned with the study of atomic dimension defined on the category of left modules over a ring R . A module theoretic as well as torsion theoretic characterization of rings with atomic dimension is provided. The atomic and Gabriel dimensions are compared and necessary and sufficient conditions for these two dimensions to coincide are established. [ABSTRACT FROM AUTHOR]
- Published
- 2005
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