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guan yu yi ge ming ti de zheng ming
Author(s): 
Pages: 38
Year: Issue:  3
Journal: Journal of Lingling Teachers College

Abstract: 文[1]中命题13:如果Ω中的左零化子满极小(或极大)条件,则Ω的任意子环S中的左零化子亦然.文[1]在这个命题的证明中“易知,L_1*(?)L_2*(?)R_1*(?)R_2*(?)L_1(?)L_2.”这里L_1*与L_2*分别是子环S的非空子集S1_与S_2在S中的左零化子,L_1与L_2分别是S_1与S_2在Ω中的左零化子,R_1*R_2*分别是L_1*与L_2*在S中的左零化子.实际上,L_1*(?)L_2*(?)L_1(?)L_2现举一反例如下:
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