Relative theory in subcategories
Colloquium Mathematicum, Tome 117 (2009) no. 1, pp. 29-63.

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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)].
DOI : 10.4064/cm117-1-3
Keywords: generalize relative tilting theory auslander solberg category mod mit lambda finitely generated modules artin algebra mit lambda certain subcategories mod mit lambda theory relative tilting theory subcategories generalize main result marcos comm algebra

Soud Khalifa Mohamed 1

1 Kolstadflata 29A 7098 Saupstad, Norway
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Soud Khalifa Mohamed. Relative theory in subcategories. Colloquium Mathematicum, Tome 117 (2009) no. 1, pp. 29-63. doi : 10.4064/cm117-1-3. http://geodesic.mathdoc.fr/articles/10.4064/cm117-1-3/

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