The \(\phi\)-dimension: a new homological measure.

DOI10.1007/s10468-014-9504-9zbMath1337.16010arXiv1304.0754OpenAlexW1971712168MaRDI QIDQ2348554

Marcelo Américo Lanzilotta, Sônia Maria Fernandes, Octavio Mendoza Hernández

Publication date: 15 June 2015

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0754

zbMATH Keywords

tilting modulesderived categoriesderived equivalencesArtin algebrashomological dimensionsfinitistic dimensionIgusa-Todorov functions

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10) Derived categories and associative algebras (16E35)

Related Items

Idempotent ideals and the Igusa-Todorov functions ⋮ Relative Igusa-Todorov functions and relative homological dimensions ⋮ Generalised Igusa-Todorov functions and Lat-Igusa-Todorov algebras ⋮ Igusa-Todorov functions for Artin algebras ⋮ Recollements and homological dimensions ⋮ Gaps for the Igusa-Todorov function ⋮ Pullback diagrams, syzygy finite classes and Igusa-Todorov algebras ⋮ Igusa-Todorov functions for radical square zero algebras ⋮ Two filtration results for modules with applications to the Auslander condition ⋮ A counterexample to the \(\phi \)-dimension conjecture ⋮ THE FINITISTIC DIMENSION AND CHAIN CONDITIONS ON IDEALS

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