On cohen-macaulay simplicial complexes |
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| Authors: | Yasuji Takeuchi |
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| Institution: | Department of Mathematics , College of Liberal Arts Kobe University , Tsurukabuto, Nada, Kobe, 657, Japan |
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| Abstract: | Let C be a coalgebra and let M be a right C-comodule. In this article we investigate the dimension of the space f of comodule morphisms from C to M. Our main result (Theorem 4) states that dim(∫M)≤dim(M), for every left co-Frobeuius coalgebra (with some additional properties) and for every finite dimensional right comodule M. In particular, taking M = ki we obtain |
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