Relative theory in subcategories
Colloquium Mathematicae (2009)
- Volume: 117, Issue: 1, page 29-63
- ISSN: 0010-1354
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topSoud Khalifa Mohamed. "Relative theory in subcategories." Colloquium Mathematicae 117.1 (2009): 29-63. <http://eudml.org/doc/283926>.
@article{SoudKhalifaMohamed2009,
abstract = {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)].},
author = {Soud Khalifa Mohamed},
journal = {Colloquium Mathematicae},
keywords = {Artin algebras; functorially finite subcategories; approximation dimension; tilting modules; cotilting modules; global dimension; tilting equivalences; stratifying systems},
language = {eng},
number = {1},
pages = {29-63},
title = {Relative theory in subcategories},
url = {http://eudml.org/doc/283926},
volume = {117},
year = {2009},
}
TY - JOUR
AU - Soud Khalifa Mohamed
TI - Relative theory in subcategories
JO - Colloquium Mathematicae
PY - 2009
VL - 117
IS - 1
SP - 29
EP - 63
AB - 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)].
LA - eng
KW - Artin algebras; functorially finite subcategories; approximation dimension; tilting modules; cotilting modules; global dimension; tilting equivalences; stratifying systems
UR - http://eudml.org/doc/283926
ER -
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