The Auslander–Reiten formula for comodule categories with applications to partial tilting comodules and tilting global dimension
Volume 153 / 2018
Colloquium Mathematicum 153 (2018), 219-240
MSC: Primary 16D90; Secondary 16T15.
DOI: 10.4064/cm7276-8-2017
Published online: 28 May 2018
Abstract
We prove the Auslander–Reiten formula for the category of finitely copresented comodules over a right semiperfect coalgebra. Based on this formula, we give a sufficient condition for a comodule to be partial tilting. As an application, we investigate the partial tilting and tilting homological properties of the Morita–Takeuchi context coalgebra.
