Grothendieck群：素数幂循环群的幂图的Leavitt路代数
Grothendieck group of the Leavitt path algebra over power graphs of prime-power cyclic groups
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AI总结：
本文通过计算素数幂循环群幂图的邻接矩阵导出的矩阵的Smith标准形，研究了其Leavitt路代数的Grothendieck群。
AI中文摘要：
本文利用线性代数中一个著名的计算方法，研究了所有素数幂循环群的幂图上的Leavitt路代数的Grothendieck群。更确切地说，计算了由素数幂循环群的幂图所关联的邻接矩阵导出的矩阵的Smith标准形。
英文摘要：
In this paper, the Grothendieck group of the Leavitt path algebra over the power graphs of all prime-power cyclic groups is studied by using a well-known computation from linear algebra. More precisely, the Smith normal form of the matrix derived from the adjacency matrix associated with the power graph of prime-power cyclic group is calculated.
