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Almost split sequences for abelian group graded rings

✍ Scribed by Maurice Auslander; Idun Reiten


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
624 KB
Volume
114
Category
Article
ISSN
0021-8693

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Let be a coalgebra over a field k. We introduce an operator Tr that takes a right quasi-finitely copresented -comodule M to a left quasi-finitely copresentedcomodule Tr M. If M is indecomposable not injective and Tr M is finite-dimensional over k, we prove the existence of an almost split sequence 0