A decomposition theorem for comodules
Compositio Mathematica, Tome 34 (1977) no. 2, pp. 141-146. 
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     author = {Batchelor, Marjorie},
     title = {A decomposition theorem for comodules},
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     pages = {141--146},
     publisher = {Noordhoff International Publishing},
     volume = {34},
     number = {2},
     year = {1977},
     mrnumber = {476789},
     zbl = {0353.16003},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1977__34_2_141_0/}
}
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Batchelor, Marjorie. A decomposition theorem for comodules. Compositio Mathematica, Tome 34 (1977) no. 2, pp. 141-146. http://archive.numdam.org/item/CM_1977__34_2_141_0/

[1] J.A. Green: Locally Finite Representations. University of Warwick preprint. | MR

[2] Moss E. Sweedler: Hopf Algebras. W. A. Benjamin, Inc., New York, 1969. | MR | Zbl