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Almost split sequences in categories of representations of quivers
Author(s):
Sverre
O.
Smal\o
Abstract | References | Similar articles | Additional information Let
Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 16E10, 16G10, 16G20, 16P10 Retrieve articles in all Journals with MSC (1991): 16E10, 16G10, 16G20, 16P10
Sverre
O.
Smal\o
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be a field and 
a connected quiver. In this note it is proved that the category of finite dimensional representations of 
over 
has almost split sequences if and only if 
either is without oriented cycles or consists of a single oriented cycle. 