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- W2916417875 abstract "noindent We have two goals in this paper. First, we investigate and construct cofree coalgebras over $n$-representations of quivers, limits and colimits of $n$-representations of quivers, and limits and colimits of coalgebras in the monoidal categories of $n$-representations of quivers. Second, for any given quivers $mathit{Q}_1$,$mathit{Q}_2$,..., $mathit{Q}_n$, we construct a new quiver $mathscr{Q}_{!_{(mathit{Q}_1, mathit{Q}_2,..., mathit{Q}_n)}}$, called an $n$-quiver, and identify each category $Rep_k(mathit{Q}_j)$ of representations of a quiver $mathit{Q}_j$ as a full subcategory of the category $Rep_k(mathscr{Q}_{!_{(mathit{Q}_1, mathit{Q}_2,..., mathit{Q}_n)}})$ of representations of $mathscr{Q}_{!_{(mathit{Q}_1, mathit{Q}_2,..., mathit{Q}_n)}}$ for every $j in {1,2,ldots , n}$." @default.
- W2916417875 created "2019-03-02" @default.
- W2916417875 creator A5052760352 @default.
- W2916417875 date "2018-05-01" @default.
- W2916417875 modified "2023-09-27" @default.
- W2916417875 title "A Universal Investigation of $n$-representations of n-quivers" @default.
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- W2916417875 doi "https://doi.org/10.29252/cgasa.10.1.69" @default.
- W2916417875 hasPublicationYear "2018" @default.
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