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Equivalences induced by infinitely generated tilting modules
Author(s):
Silvana
Bazzoni
Journal:
Proc. Amer. Math. Soc.
138
(2010),
533-544.
MSC (2000):
Primary 16D90, 16E30, 18E30;
Secondary 16S90, 16G10
Posted:
October 7, 2009
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Abstract:
We generalize Brenner and Butler's Theorem as well as Happel's Theorem on the equivalences induced by a finitely generated tilting module over Artin algebras, to the case of an infinitely generated tilting module over an arbitrary associative ring establishing the equivalences induced between subcategories of module categories and also at the level of derived categories.
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Additional Information:
Silvana
Bazzoni
Affiliation:
Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Trieste 63, 35121 Padova, Italy
Email:
bazzoni@math.unipd.it
DOI:
10.1090/S0002-9939-09-10120-X
PII:
S 0002-9939(09)10120-X
Keywords:
Tilting modules,
equivalences and derived equivalences.
Received by editor(s):
October 8, 2008,
Received by editor(s) in revised form:
July 2, 2009
Posted:
October 7, 2009
Additional Notes:
Supported by MIUR, PRIN 2005, project ``Perspectives in the theory of rings, Hopf algebras and categories of modules'' and by Università di Padova (Progetto di Ateneo CPDA071244/07 ``Algebras and cluster categories'').
Communicated by:
Birge Huisgen-Zimmermann
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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