TWO OPEN QUESTIONS ON GOLDIE EXTENDING MODULES

被引：2
|
作者：
Wu, Dejun [1 ]
Wang, Yongduo [2 ]
机构：
[1] NW Normal Univ, Dept Math, Lanzhou, Gansu, Peoples R China
[2] Lanzhou Univ Technol, Dept Appl Math, Lanzhou, Gansu, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 08期
关键词：
Duo module; Ejective module; Goldie extending module; DIRECT SUMS; SUBMODULE;
D O I：
10.1080/00927872.2011.551902
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Five open questions on Goldie extending modules were posed by Akalan et al. [1]. The first one and the second one are considered in this article. It is shown that a G-extending module M with (C-3) is G(+)-extending. Moreover, let M = M-1 circle plus M-2 be a direct sum of G-extending modules, where M satisfies (C-3) and M-1 is M-2-ojective (or M-2 is M-1-ojective), then M is G-extending. Other sufficient conditions for a direct sum of G-extending modules to be G-extending are obtained.
引用
收藏
页码：2685 / 2692
页数：8
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