Layer lengths, torsion theories and the finitistic dimension

2011/01/10 by François Huard, Huard, François, Marcelo Lanzilotta +3
Mathematics · #16G10 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:16G10

paper · pdf · doi:10.48550/arxiv.1101.1933

12 pages

arxiv created 2011/01/10 · arxiv updated 2011/01/11

Abstract

Let Λ be an artinian ring. Generalizing the Loewy length, we propose the layer length associated with a torsion theory, which is a new measure for finitely generated Λ-modules.

Related

• Radical layer length and syzygy-finite algebras
• The depth, the delooping level and the finitistic dimension
• Length complexity of tensor products
• Stable torsion theories and the injective hulls of simple modules
• Projective length, phantom extensions, and the structure of torsion modules