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-  2018 

A4型箭图的可分单态射表示和RSS等价
Separated monic representations of quivers of type A4and RSS equivalences

DOI: 10.6040/j.issn.1671-9352.0.2017.574

Keywords: 可分单态射表示,Ringel-Schmidmeier-Simson等价,Auslander-Reiten箭图,
Ringel-Schmidmeier-Simson equivalence
,separated monic representations,Auslander-Reiten quiver

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Abstract:

摘要: 研究了A4型非线性定向箭图的可分单态射范畴与可分满态射范畴之间的RSS等价。利用组合和表示论的方法显式构造了RSS等价函子及其拟逆, 并在A是A2的路代数时给出其Auslander-Reiten箭图。
Abstract: Ringel-Schmidmeier-Simson equivalences between separated monomorphism categories and separated epimorphism categories when the quiver is the of type of A4 with nonlinear order is studied. Using combinatorial methods and representation tools, the equivalence and its quasi inverse are given explicitly, and also the Auslander-Reiten quiver when A is the path algebra of A2 is given

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