关于Gorensteincotorsion模
张豫冈
【期刊名称】《大学数学》 【年(卷),期】2012(028)005
【摘要】讨论了Gorensteincotorsion模与内射模之间的关系，证明了R是GorensteinvonNeumann
正则环当且仅当任意
R
模
M
的
Oorensteincotorsion包络与内射包络是同构的，当且仅当E（M）／M是Gorenstein平坦模，同时，也讨论了Gorensteincotorsion模与cotorsion模之间的联系。%We investigated the relations between Gorenstein cotorsion and injective modules, and proved that a ring R is Gorenstein yon Neumann regular if and only if the Gorenstein cotorsion envelope and injective envelope of any Rmodule M are isomorphism, if and only if E(M)/M is Gorenstein flat Rmodule. Meanwhile, the connections between Gorenstein cotorsion and cotorsion modules are discussed as well.
【总页数】4页(54-57)
【关键词】Gorenstein;cotorsion模;yon;Neumann正则环;包络 【作者】张豫冈
【作者单位】兰州工业学院基础学科部,甘肃兰州730050 【正文语种】中文 【中图分类】O154.2 【相关文献】
关于Gorensteincotorsion模
