id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5279	Ahsanullah, TMG; Al Thukair, Fawzi	On the Characterizations of Approach Groups	2024	17	.pdf	application/pdf	8004	525	87	× G =< {F × G|F ∈ F, G ∈ G} >, i.e., we have {F ×G|F ∈ F, G ∈ G} as a basis for F×G. For F,G ∈ F(X) Noting that m (F ×G) = {xy|x ∈ F, y ∈ G} = F ⊙G, we have {F ⊙G|F ∈ F, G ∈ G} as a basis for F⊙G. Similarly, we find {F−1|F ∈ F} as a basis for F−1, where F−1 = {x−1|x ∈ F}.	cache/ejpam-5279.pdf	txt/ejpam-5279.txt