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On the Atomic Dimension in Module Categories.
- Source :
-
Communications in Algebra . Dec2005, Vol. 33 Issue 12, p4679-4692. 14p. - Publication Year :
- 2005
-
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]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 33
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 19019918
- Full Text :
- https://doi.org/10.1080/00927870500276700