A bialgebra that admits a hopf-galois extension is a hopf algebra

Proceedings of the American Mathematical Society

Volumn 125, Issue 1, 1997, Pages 83-85

  Schauenburg, Peter ^a,b  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444457054     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03682-4     Document Type: Article

References (5)

1. DOI, Y., AND TAKEUCHI, M. Cleft comodule algebras for a bialgebra. Comm. in Alg. 14 (1986), 801-817. MR 87e:16025
2. DOI, Y., AND TAKEUCHI, M. Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras. J. Algebra 121 (1989), 488-516. MR 90b:16015
3. MONTGOMERY, S. Hopf algebras and their actions on rings, vol. 82 of CBMS Regional Conference Series in Mathematics. AMS, Providence, Rhode Island, 1993. MR 941:16019
4. SCHAUENBURG, P. Hopf bimodules over Hopf-Galois extensions, Miyashita-Ulbrich actions, and monoidal center constructions. Comm. in Alg. 24 (1996), 143-163.
5. SCHNEIDER, H.-J. Representation theory of Hopf-Galois extensions. Israel. J. of Math. 72 (1990), 196-231. MR 92d:16047