id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3274	Zhang, Jiangang; Yang, Yuhui; Shen, Ran	The Strong Semilattice of Pi-groups	2018	9	.pdf	application/pdf	3927	248	87	= (aϕα,β)(eβbθα,β) = aϕα,βbθα,β = aφα,βbφα,β. Case 4: if a ∈ Gα, b ∈ Qα, then ab ∈ Gα, similar to the above case, (ab)φα,β = (ab)θα,β = ((aeα)b)θα,β = (a(eαb))θα,β = aθα,β(eαb)θα,β = aθα,β(beα)θα,β (by Lemma 1) = aθα,βbϕα,βeβ = aθα,βbϕα,β (by Condition (iii)) = aφα,βbφα,β. Let S be a GV-inverse semigroup and RegS be an ideal of S. For any α ∈ Y , if a ∈ Gα, then Ha = La = Ra = Ja = Gα; if a ∈ Qα, then Ja = {a}.	cache/ejpam-3274.pdf	txt/ejpam-3274.txt