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Layer Lengths, Torsion Theories and the Finitistic Dimension |
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| Authors: | François Huard Marcelo Lanzilotta Octavio Mendoza Hernández |
| Institution: | 1. Department of Mathematics, Bishop’s University, Sherbrooke, QC, Canada, J1M1Z7 2. Facultad de Ingeniería, Instituto de Matemática y Estadística Rafael Laguardia, Universidad de la República, J. Herrera y Reissig 565, CP 11300, Montevideo, Uruguay 3. Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, C.P. 04510, México, DF, México |
| 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, 2009) and Wang (Commun Algebra 22(7):419–449, 1994). |
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