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Almost Split Sequences and Approximations

โœ Scribed by Liu, Shiping; Ng, Puiman; Paquette, Charles


Book ID
121603435
Publisher
Springer Netherlands
Year
2012
Tongue
English
Weight
405 KB
Volume
16
Category
Article
ISSN
1386-923X

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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