《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (8): 75-79.doi: 10.6040/j.issn.1671-9352.0.2019.538
• • 上一篇
吴德军,卢锐涛,王永铎*
WU De-jun, LU Rui-tao, WANG Yong-duo*
摘要: 引入了单Utumi模和奇异单Utumi模的概念, 研究了它们的基本性质, 证明了环R是右V-环当且仅当每个右R-模是单Utumi模; 环R是右GV-环当且仅当每个右R-模是奇异单Utumi模; 环R是半单阿廷环当且仅当每个单Utumi右R-模是内射模。
中图分类号:
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