Layer lengths, torsion theories and the finitistic dimension

DOI10.1007/S10485-011-9268-XzbMath1300.18006arXiv1101.1933OpenAlexW2085010131MaRDI QIDQ2392098

Marcelo Américo Lanzilotta, Octavio Mendoza Hernández, François Huard

Publication date: 1 August 2013

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1933

zbMATH Keywords

finitistic dimensiontorsion pairleft Artinian ringabelian length-categorylayer length

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (8)

On the extension dimension of module categories ⋮ Relative Igusa-Todorov functions and relative homological dimensions ⋮ The derived and extension dimensions of abelian categories ⋮ An upper bound for the dimension of bounded derived categories ⋮ The extension dimension of abelian categories ⋮ Extension dimensions of derived and stable equivalent algebras ⋮ The derived dimensions of \((m,n)\)-Igusa-Todorov algebras ⋮ The \(\phi\)-dimension: a new homological measure.

Cites Work

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• An approach to the finitistic dimension conjecture.
• Some aspects of torsion
• Finitistic dimension through infinite projective dimension
• A note on the finitistic dimension conjecture
• The finitistic dimension conjectures -- a tale of 3.5 decades
• A Torsion Theory for Abelian Categories

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