Monic representations and Gorenstein-projective modules
Monic representations and Gorenstein-projective modules
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DOI：
10.2140/pjm.2013.264.163
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发表时间：
2011-10
影响因子：
0.6
通讯作者：
Xiu-Hua Luo;Pu Zhang
中科院分区：
文献类型：
--
作者：
Xiu-Hua Luo;Pu Zhang
Let $\Lambda$ be the path algebra of a finite quiver $Q$ over a finite-dimensional algebra $A$. Then $\Lambda$-modules are identified with representations of $Q$ over $A$. This yields the notion of monic representations of $Q$ over $A$. If $Q$ is acyclic, then the Gorenstein-projective $\m$-modules can be explicitly determined via the monic representations. As an application, $A$ is self-injective if and only if the Gorenstein-projective $\m$-modules are exactly the monic representations of $Q$ over $A$.
