Back to Search
Start Over
Layer Lengths, Torsion Theories and the Finitistic Dimension.
- Source :
-
Applied Categorical Structures . Aug2013, Vol. 21 Issue 4, p379-392. 14p. - Publication Year :
- 2013
-
Abstract
- Let $\mathcal{C}$ be a length-category. Generalizing the Loewy length, we propose the layer length associated with a torsion theory, which is a new measure for objects of $\mathcal{C}$. As an application, we use the layer lengths and the Igusa-Todorov function to get a theorem (see Theorem 6.4) having as corollaries the main results of Huard et al. (Bull Lond Math Soc 41:367-376, ) and Wang (Commun Algebra 22(7):419-449, ). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09272852
- Volume :
- 21
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Applied Categorical Structures
- Publication Type :
- Academic Journal
- Accession number :
- 88901761
- Full Text :
- https://doi.org/10.1007/s10485-011-9268-x