A generalization of supplemented modules

doi:10.15672/HJMS.20164512487

	A generalization of supplemented modules
	Wang, Yongduo; Wu, Dejun
	2016-02
发表期刊	HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
ISSN	1303-5010
卷号	45 期号:1 页码:129-137
摘要	Let M be a left module over a ring R and I an ideal of R. M is called an I-supplemented module (finitely I-supplemented module) if for every submodule (finitely generated submodule) X of M, there is a submodule Y of M such that X + Y = M, X boolean AND Y subset of I Y and X boolean AND Y is PSD in Y. This definition generalizes supplemented modules and delta-supplemented modules. We characterize I-semiregular, I-semiperfect and I-perfect rings which are defined by Yousif and Zhou [12] using I-supplemented modules. Some well known results are obtained as corollaries.
关键词	semiregular semiperfect supplemented module small submodule
DOI	10.15672/HJMS.20164512487
收录类别	SCI ; SCIE
语种	英语
资助项目	Natural Science Foundation of Gansu Province[1310RJZA029] ; National Natural Science Foundation of China[11301242]
WOS研究方向	Mathematics
WOS类目	Mathematics ; Statistics & Probability
WOS记录号	WOS:000379031700014
出版者	HACETTEPE UNIV, FAC SCI
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/33778
专题	材料科学与工程学院兰州理工大学
通讯作者	Wu, Dejun
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R China
第一作者单位	材料科学与工程学院
通讯作者单位	材料科学与工程学院
第一作者的第一单位	材料科学与工程学院
推荐引用方式 GB/T 7714	Wang, Yongduo,Wu, Dejun. A generalization of supplemented modules[J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS,2016,45(1):129-137.
APA	Wang, Yongduo,&Wu, Dejun.(2016).A generalization of supplemented modules.HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS,45(1),129-137.
MLA	Wang, Yongduo,et al."A generalization of supplemented modules".HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS 45.1(2016):129-137.