[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2014.51.6.1177

ABSOLUTELY PURE REPRESENTATIONS OF QUIVERS

Aghasi, Mansour (Department of Mathematical sciences Isfahan University of Technology)
Nemati, Hamidreza (Department of Mathematical sciences Isfahan University of Technology)

Publication Information

Journal of the Korean Mathematical Society / v.51, no.6, 2014 , pp. 1177-1187 More about this Journal

Abstract

In the current paper we study absolutely pure representations of quivers. Then over some nice quivers including linear quivers some sufficient conditions guaranteeing a representation to be absolutely pure is characterized. Furthermore some relations between atness and absolute purity is investigated. Finally it is shown that the absolutely pure covering of representations of linear quivers (including $A^-_{\infty}$ , $A^+_{\infty}$ and $A^{\infty}_{\infty}$ ) by R-modules whenever R is a coherent ring exists.

Keywords

representations of a quiver; pure monomorphism; absolutely pure representations; flat representations;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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