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《Journal of Anhui Normal University(Natural Science)》 2009-04
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Some Studies on Small-Injective Modules

YU Zhu-jun,WU Jun(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China)  
Main purposes of this paper is to study some characters of small-injective modules and their envelopes.We prove that(1) R is a LPID ring,and left R-module sequence 0→A→B→C→0 is exact.If A is left small-injective module,then B is left small-injective module iff C is left small-injective module.(2) R is left s-v-rings iff R is semiprimitive rings.
【CateGory Index】: O153.3
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