scholarly journals Exponential networks and representations of quivers

2017 ◽  
Vol 2017 (8) ◽  
Author(s):  
Richard Eager ◽  
Sam Alexandre Selmani ◽  
Johannes Walcher
2002 ◽  
Vol 31 (2) ◽  
pp. 97-101 ◽  
Author(s):  
Sangwon Park

We prove thatP1 →f P2is a projective representation of a quiverQ=•→•if and only ifP1andP2are projective leftR-modules,fis an injection, andf (P 1)⊂P 2is a summand. Then, we generalize the result so that a representationM1 →f1  M2  →f2⋯→fn−2  Mn−1→fn−1  Mnof a quiverQ=•→•→•⋯•→•→•is projective representation if and only if eachMiis a projective leftR-module and the representation is a direct sum of projective representations.


2004 ◽  
Vol 192 (1-3) ◽  
pp. 69-94 ◽  
Author(s):  
Carol Chang ◽  
Jerzy Weyman

2018 ◽  
Vol 224 ◽  
pp. 02108
Author(s):  
Alexander Popov ◽  
Rustem Valiev

The article describes the characteristics of special types of queuing systems. Special types of queuing systems are listed. The main methods for calculating of non-exponential queuing systems are given.


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