Small _ essential submodules relative to an arbitrary submodul

2nd International Scientific Conference (Pure Sciences, Brilliant Creativity and Renewed Building)

Abbas, M.S.^1

Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq^1

关键词: Submodules;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/571/1/012031/pdf
DOI  :  10.1088/1757-899X/571/1/012031

来源: IOP

【 摘 要 】

Let M be an R-module and T a submodule of M. The notion of small-essential and T-essential submodule are well known. In this paper, we introduce small-essential submodule of M relative to T, which is a generalization of both ones. Several properties and characterizations have been introduced. We invest this concept to consider two socles of modules and study some of their properties.