ON SOC - SUPPLEMENTED MODULES
Corresponding Author(s) : Truong Cong Quynh
UED Journal of Social Sciences, Humanities and Education,
Vol. 1 No. 1 (2011): UED JOURNAL OF SOCIAL SCIENCES, HUMANITIES AND EDUCATION
Let A, B be submodules of module M . Submodule A is said to be a supplement of B in M nếu M=A+B and Module M is called supplemented if for each submodule A of M, there exists a submodule B of M such that A is supplement of B in M. These classes are studied in recently years. In particular, some characterizations of perfect and semiperfect ring via supplemented modules. In 2004, Wang and Ding gave a generalization of supplemented module and research them. Following which, a module M is called generalized supplemented if for each submodule A of M, there exists a submodule B of M such that M=A+B and In this paper, we consider a generalization of supplemented module, that is soc-supplemented modules and some applications in classes well-known rings.
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