대한수학회지 (Journal of the Korean Mathematical Society)

  • 제51권6호
  • /
  • Pages.1177-1187
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  • 2014
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2013.12.16
  • 발행 : 2014.11.01
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초록

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.

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참고문헌

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