Geodesic
A Characterization of Group Rings as a Special Class of Hopf Algebras
Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 465-475

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By a group ring we mean in this paper a ring defined by a finite group G and an integral domain K: such that A contains G and is freely generated by G over K, so that The ring A = KG has a co-multiplication defined by so that A is a Hopf algebra. 
Takahashi, Shuichi. A Characterization of Group Rings as a Special Class of Hopf Algebras. Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 465-475. doi: 10.4153/CMB-1965-033-5
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     author = {Takahashi, Shuichi},
     title = {A {Characterization} of {Group} {Rings} as a {Special} {Class} of {Hopf} {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {465--475},
     year = {1965},
     volume = {8},
     number = {4},
     doi = {10.4153/CMB-1965-033-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-033-5/}
}
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