文章基本信息
- 标题：Generalizations of Hopfian and co-Hopfian modules
- 本地全文：下载
- 作者：Yongduo Wang
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：2005
- 卷号：2005
- 期号：9
- 页码：1455-1460
- DOI：10.1155/IJMMS.2005.1455
- 出版社：Hindawi Publishing Corporation
- 摘要：
Let R be a ring and M a left R -module. M which satisfies DCC on essential submodules is GCH, and M which satisfies ACC on small submodules is WH. If M [ X ] is GCH R [ X ] -module, then M is GCH R -module. Examples show that a GCH module need not be co-Hopfian and a WH module need not be Hopfian.
