Flat covers of representations of the quiver A
Flat covers of representations of the quiver A
复制标题
箭袋 A 的平面封面
DOI：
10.1155/s0161171203205391
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发表时间：
2003
影响因子：
1.2
通讯作者：
L. Oyonarte
中科院分区：
文献类型：
--
作者：
E. Enochs;S. Estrada;J. R. García;L. Oyonarte
有根的箭袋是不包含
A∞ →·→·作为一个子节点。平坦覆盖和余挠包络的存在性
Enochs等人研究了这些箭图的表示。本文的主要目的是证明对于
表示A∞。我们首先刻画了A∞的n-生成射影表示。我们还看到，
投影覆盖了A∞的表示，这增加了更多
对平面覆盖存在的问题感兴趣。
Rooted quivers are quivers that do not contain
A∞≡⋯→•→• as a subquiver. The existence of flat covers and cotorsion envelopes
for representations of these quivers have been studied by Enochs et al. The main goal of this paper is to prove that flat covers and cotorsion envelopes exist for
representations of A∞. We first characterize finitely generated projective representations of A∞. We also see that there are no
projective covers for representations of A∞, which adds more
interest to the problem of the existence of flat covers.