Tilting in Abelian Categories and Quasitilted Algebras is popular PDF and ePub book, written by Dieter Happel in 1996, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Tilting in Abelian Categories and Quasitilted Algebras can be Read Online from any device for your convenience.
Tilting in Abelian Categories and Quasitilted Algebras Book PDF Summary
We generalize tilting with respect to a tilting module of projective dimension at most one for an Artin algebra to tilting with respect to a torsion pair in an Abelian category. Our construction is motivated by the connection between tilting and derived categories. We develop a general theory for such tilting, and are led to a generalization of tilting algebras which we call quasitilted algebras. This class also contains the canonical algebras, and we show that the quasitilted algebras are characterized by having global dimension at most two and each indecomposable module having projective dimension at most one or injective dimension at most one. We also give other characterizations of quasitilted algebras, and give methods for constructing such algebras.
Detail Book of Tilting in Abelian Categories and Quasitilted Algebras PDF
- Author : Dieter Happel
- Release : 20 September 1996
- Publisher : American Mathematical Soc.
- ISBN : 9780821804445
- Genre : Mathematics
- Total Page : 103 pages
- Language : English
- PDF File Size : 21,9 Mb
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