Cleft Comodule Categories

REFERENCES

• Blattner , R. , Cohen , M. , Montgomery , S. ( 1986 ). Crossed products and inner actions of Hopf algebras . Trans. Am. Math. Soc. 298 : 671 – 711 .
   Web of Science ®Google Scholar
• Blattner , R. , Montgomery , S. ( 1989 ). Crossed products and Galois extensions of Hopf algebras . Pac. J. Math. 137 ( 1 ): 37 – 54 .
   Web of Science ®Google Scholar
• Bongartz , K. , Gabriel , P. ( 1981/1982 ). Covering spaces in representation-theory . Invent. Math. 65 : 331 – 378 .
   Web of Science ®Google Scholar
• Doi , Y. , Takeuchi , M. ( 1986 ). Cleft comodule algebras for a bialgebra . Commun. Algebra 14 : 801 – 817 .
   Web of Science ®Google Scholar
• Cibils , C. , Marcos , E. ( 2006 ). Skew category, Galois covering and smash product of a k-category . Proc. Am. Math. Soc. 134 ( 1 ): 39 – 50 .
   Web of Science ®Google Scholar
• Cohen , M. , Montgomery , S. ( 1984 ). Group-Graded rings, smash products, and group actions . Trans. Amer. Math. Soc. 282 : 237 – 258 .
   Web of Science ®Google Scholar
• Cibils , C. , Solotar , A. ( 2006 ). Galois coverings, Morita equivalence and smash extensions of categories over a field . Documenta Mathematica 11 : 143 – 159 .
   Web of Science ®Google Scholar
• Dăscălescu , S. , Năstăsescu , C. , Raianu , Ş. ( 2001 ). Hopf algebras. An introduction. Monographs and Textbooks in Pure and Applied Mathematics. Vol. 235. Marcel Dekker .
   Google Scholar
• Herscovich , E. , Solotar , A. ( 2007 ). Hochschild-Mitchell cohomology and galois extensions . J. Pure Appl. Algebra 209 ( 1 ): 37 – 55 .
   Web of Science ®Google Scholar
• Mitchell , B. ( 1972 ). Rings with several objects . Adv. Math. 8 : 1 – 161 .
   Web of Science ®Google Scholar
• Montgomery , S. ( 1993 ). Hopf Algebras and Their Actions on Rings. Vol. 82. CMBS, AMS .
   Google Scholar
• Communicated by T. Albu.
   Google Scholar