id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3979	Al-Mutairi, Tahani; Al-shomrani, Mohammed Mosa	An Application of Finite Groups to Hopf algebras	2021	13	.pdf	application/pdf	4853	463	87	Math, 14 (3) (2021), 816-828 826 Finally, to show that (H, µ, λ,∆, ε, S) is an R-Hopf algebra, we define the antipode map S : H 7−→ H, for all g ∈ G, by S(g) = g−1 [8] A semisimple Hopf algebra H is nilpotent if the ascending central series K ⊆ Z1 ⊆ Z2 ⊆ .... satisfies Zm = H for some m > 1.	cache/ejpam-3979.pdf	txt/ejpam-3979.txt