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On minimal quasi-injective modules and strong Kasch modules
  • ISSN号：1008-9497
  • 期刊名称：《浙江大学学报：理学版》
  • 时间：0
  • 分类：O153[理学—数学;理学—基础数学]
  • 作者机构：[1]嘉兴学院数学系,浙江嘉兴314001, [2]东南大学数学系,江苏南京210096
  • 相关基金：Foundation item： The NSFC of China （No. 10571026） ; The Foundation of Graduate Creative Program of Jiangsu （xm04-10）.
作者： 朱占敏[1], 张小向[2]
关键词： 极小拟内射模, 强Kasch模, 半完全环, 半局部环, minimal quasi-injective module, strong Kasch module, semiperfect ring, semilocal ring
中文摘要：

设R为一个环，M为一个右R-模．若每个从M的单子模到M的同态都可以开拓为M的自同态，则称M为一个极小拟内射模．若每个单的右R-模都可以嵌入M，则称M为一个强Kasch模．本文研究了这两类模的一些刻画和性质．

英文摘要：

Let R be a ring and M a right R-module. M is said to be minimal quasi-injective if every homomorphism from a simple submodule of M to M can be extended to an endomorphism of M. M is said to be strongly Kasch if every simple right R-module embeds in M. Some characterizations and properties of these two classes of modules are investigated.

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期刊信息
  • 《浙江大学学报：理学版》
  • 中国科技核心期刊
  • 主管单位:教育部
  • 主办单位:浙江大学
  • 主编：贺贤士 张富春
  • 地址：杭州市天目山路148号
  • 邮编：310028
  • 邮箱：zdxb_l@zju.edu.cn
  • 电话：0571-88272803
  • 国际标准刊号：ISSN：1008-9497
  • 国内统一刊号：ISSN：33-1246/N
  • 邮发代号:32-36
  • 获奖情况:
  • 第二届中国高校精品科技期刊
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  • 被引量:7855