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Tilting up algebras of small homological dimensions

✍ Scribed by Flávio Ulhoa Coelho; Dieter Happel; Luise Unger


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
219 KB
Volume
174
Category
Article
ISSN
0022-4049

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✦ Synopsis


We consider algebras which satisfy the property that for each indecomposable module X; either its projective dimension pd X is at most one or its injective dimension id X is at most one and that the global dimension gl dim is three. We will show that this class is in bijective correspondence with a class of algebras of global dimension two admitting a special tilting torsion pair.


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