Some results on countably ∑-uniform - extending modules

Title:	Some results on countably ∑-uniform - extending modules
Authors:	Le, Van Anh Ngo, Sy Tung
Keywords:	∑-uniform;extending modules
Issue Date:	2009
Publisher:	H. : ĐHQGHN
Series/Report no.:	Vol. 25;No. 2 (2009)
Description:	p. 9 - 14
URI:	http://repository.vnu.edu.vn/handle/VNU_123/56804

Abstract: :A module M is called a uniform extending if every uniform submodule of M is essential in a direct summand of M . A module A/ is called a countably E - uniform extending if is uniform extending. In this paper, we discuss the question of when a countably E - uniform extending module is E - quasi - injective? We also characterize QF rings by the class of countably E — uniform extending modules.