JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (2): 1-8.doi: 10.6040/j.issn.1671-9352.0.2017.574

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Separated monic representations of quivers of type A4and RSS equivalences

ZHU Lin   

  1. School of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China
  • Received:2017-11-08 Online:2018-02-20 Published:2018-01-31

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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.

Key words: Ringel-Schmidmeier-Simson equivalence, separated monic representations, Auslander-Reiten quiver

CLC Number: 

  • O153.3
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