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Representation theory of the system quiver
Authors:Email author" target="_blank">Longcai?LiEmail author  Yingbo?Zhang
Institution:1. Department of Mathematics, Beijing Normal University, Beijing 100875, China;Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
2. Department of Mathematics, Beijing Normal University, Beijing 100875, China
Abstract:Let A be a three-point algebra with Gabriel quiver the system quiver Q, Then, up to isomorphism and duality, A is tame if and only if A is or degenerates to a factor of a tame algebra in the tame Table T if and only if A/rad5 A is tame, and A is wild if and only if A has a wild algebra in the wild Table W as a factor if and only if A is controlled wild.
Keywords:system quiver  three-point algebra  representation type  
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