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Almost Split Sequences for Dedekind-Like Rings

✍ Scribed by Arnold, D. M.; Laubenbacher, R. C.


Book ID
120094740
Publisher
Oxford University Press
Year
1991
Tongue
English
Weight
217 KB
Volume
s2-43
Category
Article
ISSN
0024-6107

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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