id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6172	Chanoi, Cholathorn ; Kauppamung, Apichaya ; Luangchaisri, Panuwat ; Changphas, Thawhat	Finite {\bf $\Gamma$-AG}-groupoids with Left Identities and Left Zeros	2025	9	.pdf	application/pdf	3086	203	86	∗ ak = (((ar ∗ a−1 r ) ∗ a0) ∗ a0) ∗ ak = (((a0 ∗ a−1 r ) ∗ ar) ∗ a0) ∗ ak = ((a−1 r ∗ ar) ∗ a0) ∗ ak = (a0 ∗ a0) ∗ ak = a0 ∗ as = as. By (v), ai = a0 or aj = a0.	cache/ejpam-6172.pdf	txt/ejpam-6172.txt