Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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GORENSTEIN-INJECTORS, GORENSTEIN-FLATORS

  • Gu, Qinqin (SCHOOL OF MATHEMATICS AND PHYSICS ANHUI UNIVERSITY OF TECHNOLOGY) ;
  • Zhu, Xiaosheng (DEPARTMENT OF MATHEMATICS NANJING UNIVERSITY) ;
  • Zhou, Wenping (SCHOOL OF MATHEMATICS AND PHYSICS ANHUI UNIVERSITY OF TECHNOLOGY)
  • Received : 2007.12.29
  • Published : 2010.07.01
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Abstract

Over a ring R, let $P_R$ be a finitely generated projective right R-module. Then we define the G-injector (G-projector) if $P_R$ preservers Gorenstein injective modules (Gorenstein projective modules), the Gflator if $P_R$ preservers Gorenstein flat modules. G-injector (G-flator) and G-injector are characterized focus primarily on the cases where R is a Gorenstein ring, and under this condition we also study the relations between the injector (projector, flator) and the G-injector (G-projector, G-flator). Over any ring we also give the characteristics of G-injector (G-flator) by the Gorenstein injective (Gorenstein flat) dimensions of modules.

Keywords

References

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