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Algebras with small homological dimensions

✍ Scribed by Flávio Ulhoa Coelho; Marcelo Américo Lanzilotta

Publisher
Springer
Year
1999
Tongue
English
Weight
76 KB
Volume
100
Category
Article
ISSN
0025-2611

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📜 SIMILAR VOLUMES

Tilting up algebras of small homological
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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

Construction of Modules with Finite Homo
Construction of Modules with Finite Homological Dimensions
✍ Oana Veliche 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 163 KB

A new homological dimension, called G \* -dimension, is defined for every finitely generated module M over a local noetherian ring R. It is modeled on the CI-dimension of Avramov, Gasharov, and Peeva and has parallel properties. In particular, a ring R is Gorenstein if and only if every finitely gen