ABSOLUTELY PURE REPRESENTATIONS OF QUIVERS

Title & Authors
ABSOLUTELY PURE REPRESENTATIONS OF QUIVERS
Aghasi, Mansour; Nemati, Hamidreza;

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 $\small{A^-_{\infty}}$, $\small{A^+_{\infty}}$ and $\small{A^{\infty}_{\infty}}$) by R-modules whenever R is a coherent ring exists.
Keywords
representations of a quiver;pure monomorphism;absolutely pure representations;flat representations;
Language
English
Cited by
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