We generalize the relative (co)tilting theory of Auslander-Solberg in the category mod Λ of finitely generated left modules over an artin algebra Λ to certain subcategories of mod Λ. 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)].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm117-1-3,
author = {Soud Khalifa Mohamed},
title = {Relative theory in subcategories},
journal = {Colloquium Mathematicae},
volume = {116},
year = {2009},
pages = {29-63},
zbl = {1254.16010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm117-1-3}
}
Soud Khalifa Mohamed. Relative theory in subcategories. Colloquium Mathematicae, Tome 116 (2009) pp. 29-63. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm117-1-3/