id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-2376	Mohammadali, Haibat K.; Dahash, Mohammad E.	Pseudo Weakly Closed Submodules and Related Concepts	2020	12	.pdf	application/pdf	4240	340	75	The concept of closed submodule recently extended by [ ] To -closed submodule, where a submodule of is called -closed submodule of if has no proper weak-essential extensions in , that is if is a weak essential submodule of , where is a submodule of , then [6,7]. Also, the intersection of two -closed submodules need not to be - closed submodule as the following example shows: The -module the submodules 〈 ̅ ̅ 〉 and 〈 ̅ ̅ 〉 are -closed submodules in ( since they are -closed submodules in ), but 〈 ̅ ̅ 〉 〈 ̅ ̅ 〉 〈 ̅ ̅ 〉 is not - closed submodule in since 〈 ̅ ̅ 〉 is closed submodule in .	cache/iajs-2376.pdf	txt/iajs-2376.txt