Existence of a unique maximal subcoalgebra whose action is inner |
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| Authors: | Akira Masuoka |
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| Affiliation: | (1) Institute of Mathematics, University of Tsukuba, 305 Tsukuba-city Ibaraki, Japan;(2) Present address: Department of Mathematics, Nippon Institute of Technology, 4-1 Gakuen-Dai, Miyashiro-Machi, Minami-Saitama-Gun, 345 Saitama, Japan |
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| Abstract: | LetC be a coalgebra over a fieldk. Fix an algebra map α:R →A. Introducing the notion of cleft forms, we show that, for any measuringφ:C → Hom(R, A), there is a unique maximal subcoalgebraD ofC such thatφ|D is inner. |
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