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Valued Gabriel quiver of a wedge product and semiprime coalgebras

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Abstract

We describe the valued Gabriel quiver of a wedge product of coalgebras and study the category of comodules of a semiprime coalgebra. In particular, we prove that any monomial semiprime k-tame fc-tame coalgebra is string. We also prove a version of Eisenbud-Griffith theorem for coalgebras, namely, any hereditary semiprime strictly quasi-finite coalgebra is serial.

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  1. Department of Computer Sciences and AI, University of Granada, El Greco, s/n, E-51002, Ceuta, Spain

    Gabriel Navarro

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  1. Gabriel Navarro
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Correspondence to Gabriel Navarro.

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Navarro, G. Valued Gabriel quiver of a wedge product and semiprime coalgebras. Front. Math. China 8, 1157–1183 (2013). https://doi.org/10.1007/s11464-013-0310-1

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  • DOI: https://doi.org/10.1007/s11464-013-0310-1

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