It takes the average reader 1 hour and 30 minutes to read Tilting in Abelian Categories and Quasitilted Algebras by Dieter Happel
Assuming a reading speed of 250 words per minute. Learn more
In this book, the authors generalize 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. A general theory is developed for such tilting and the reader is led to a generalization for tilted algebras which the authors call ``quasitilted algebras''. This class also contains the canonical algebras, and the authors 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. The authors also give other characterizations of quasitilted algebras and give methods for constructing such algebras. In particular, they investigate when one-point extensions of hereditary algebras are quasitilted.
Tilting in Abelian Categories and Quasitilted Algebras by Dieter Happel is 88 pages long, and a total of 22,704 words.
This makes it 30% the length of the average book. It also has 28% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 4 minutes to read Tilting in Abelian Categories and Quasitilted Algebras aloud.
Tilting in Abelian Categories and Quasitilted Algebras is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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