id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5394	Payla, Erneta; Ranara, Luzviminda	Topologies on Hyper BCK-Algebra \([0, 1]\)	2025	10	.pdf	application/pdf	3861	311	93	Math, 18 (2) (2025), 5394 4 of 10 (x ∗ z) ∗ (y ∗ z) = {x− z} ∗ {y − z} = {x− z − (y − z)} for x− z ≥ y − z = {x− y} = x ∗ y Thus, (x ∗ z) ∗ (y ∗ z) = {x− y} ≪ x ∗ y for 0 ∈ {x− y} ∗ {x− y} = {0}. Thus, (x ∗ z) ∗ (y ∗ z) = {0} ≪ {x− y} = x ∗ y. Case 2: If x ≤ y then x ∗ y = {0}.	cache/ejpam-5394.pdf	txt/ejpam-5394.txt