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
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.
