Relative theory in subcategories
Colloquium Mathematicum, Tome 117 (2009) no. 1, pp. 29-63
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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)].
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
Affiliations des auteurs :
Soud Khalifa Mohamed 1
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author = {Soud Khalifa Mohamed},
title = {Relative theory in subcategories},
journal = {Colloquium Mathematicum},
pages = {29--63},
year = {2009},
volume = {117},
number = {1},
doi = {10.4064/cm117-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm117-1-3/}
}
Soud Khalifa Mohamed. Relative theory in subcategories. Colloquium Mathematicum, Tome 117 (2009) no. 1, pp. 29-63. doi: 10.4064/cm117-1-3
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