Download E-books Tilting in Abelian Categories and Quasitilted Algebras (Memoirs of the American Mathematical Society) PDF

By Dieter Happel

During this publication, the authors generalize with appreciate to a tilting module of projective measurement at such a lot one for an artin algebra to tilting with admire to a torsion pair in an abelian class. A basic idea is built for such tilting and the reader is resulted in a generalization for tilted algebras which the authors name "quasitilted algebras". This classification additionally comprises the canonical algebras, and the authors convey that the quasitilted algebras are characterised by way of having worldwide measurement at such a lot and every indecomposable module having projective size at such a lot one or injective measurement at so much one.

The authors additionally provide different characterizations of quasitilted algebras and provides equipment for developing such algebras. In specific, they examine whilst one-point extensions of hereditary algebras are quasitilted.

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