Relative theory in subcategories
Volume 117 / 2009
Colloquium Mathematicum 117 (2009), 29-63
MSC: Primary 12G10, 16G70; Secondary 16E10.
DOI: 10.4064/cm117-1-3
Abstract
We generalize the relative (co)tilting theory of Auslander–Solberg in the category $\mod{\mit\Lambda}$ of finitely generated left modules over an artin algebra ${\mit\Lambda}$ to certain subcategories of $\mod{\mit\Lambda}$. We then use the theory (relative (co)tilting theory in subcategories) to generalize one of the main result of Marcos et al. [Comm. Algebra 33 (2005)].
