منابع مشابه
Injective Envelopes and Projective Covers of Quivers
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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 $math...
متن کاملRepresentations of quivers
We give an introduction to the theory of quiver representations, in its algebraic and geometric aspects. The main result is Gabriel’s theorem that characterizes quivers of finite representation type. Résumé. Nous donnons une introduction à la théorie des représentations des carquois, sous ses aspects algébrique et géométrique. Le résultat principal est le théorème de Gabriel qui caractérise les...
متن کاملPure-injective modules
The pure-injective R-modules are defined easily enough: as those modules which are injective over all pure embeddings, where an embedding A → B is said to be pure if every finite system of R-linear equations with constants from A and a solution in B has a solution in A. But the definition itself gives no indication of the rich theory around purity and pure-injectivity. The purpose of this surve...
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Existence of superdecomposable pure-injective modules reflects complexity in the category of finite-dimensional representations. We describe the relation in terms of pointed modules. We present methods for producing superdecomposable pure-injectives and give some details of recent work of Harland doing this in the context of tubular algebras. 2010 Mathematics Subject Classification. Primary 16G...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2013
ISSN: 1015-8634
DOI: 10.4134/bkms.2013.50.2.389