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Local theory of almost split sequences for comodules

✍ Scribed by William Chin; Mark Kleiner; Declan Quinn

Publisher: Springer-Verlag
Year: 2005
Tongue: German
Weight: 708 KB
Volume: 51
Category: Article
ISSN: 0430-3202
DOI: 10.1007/bf02824830

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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

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