The bound quiver of a split extension

Assem I; Coelho FU; Trepode S

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The bound quiver of a split extension

机译：拆分扩展的绑定颤抖

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摘要

In this paper, we give a sufficient (which is also necessary under a compatibility hypothesis) condition on a set of arrows in the quiver of an algebra A so that A is a split extension of A/M, where M is the ideal of A generated by the classes of these arrows. We also compare the notion of split extension with that of semiconvex extension of algebras.

机译：在本文中，我们对代数A的颤动中的一组箭头给出了充分的条件（在兼容性假设下也是必要的），因此A是A / M的分解扩展，其中M是A的理想值由这些箭头的类别生成。我们还比较了分裂扩展和代数的半凸扩展的概念。

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来源
《Journal of algebra and its applications》 |2008年第4期|共19页
作者
Assem I; Coelho FU; Trepode S;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
split extensions; bound quivers; semiconvex extensions; CLUSTER-TILTED ALGEBRAS; MODULES;

机译：拆分扩展;束缚颤动;semiconvex扩展;聚类代数;模块;

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1. The bound quiver of a split extension [J] . Assem I, Coelho FU, Trepode S Journal of algebra and its applications . 2008,第4期

机译：拆分扩展的绑定颤抖
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3. Almost split sequences in categories of representations of quivers [J] . Smalo SO. Proceedings of the American Mathematical Society . 2000,第3期

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The bound quiver of a split extension

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