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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.