[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2010.47.4.691

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)

Publication Information

Journal of the Korean Mathematical Society / v.47, no.4, 2010 , pp. 691-704 More about this Journal

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

Gorenstein-injector; perfect Gorenstein-injector; Gorensteinflator; perfect Gorenstein-flator;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

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