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Degenerations of Finite-Dimensional Modules are Given by Extensions

✍ Scribed by Grzegorz Zwara


Book ID
111525480
Publisher
Cambridge University Press
Year
2000
Tongue
English
Weight
143 KB
Volume
121
Category
Article
ISSN
0010-437X

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On Degenerations and Extensions of Finit
✍ Klaus Bongartz πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 996 KB

We derive a cancellation theorem for degenerations of modules that says in particular, that projective or injective common direct summands can always be neglected. Combining the cancellation result with the existence of almost split sequences we characterize the orbit closure of a module living on p