The decomposition of cyclic modules in Leavitt path algebra

Tan Phuc Ngo1,, Ngoc Thanh Tran2, Vo Nhat Trung Tang2
1 Dong Thap University, Vietnam
2 Student, Dong Thap University, Vietnam

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Abstract

In this paper, we describe the structure of the cyclic module in the Leavitt path algebra generated by elements in the original graph.

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References

Abrams, G. (2015). Leavitt path algebras: the first decade. Bulletin of Mathematical Sciences, 5, 59-120.
Abrams, G., & Pino, G. A. (2005). The Leavitt path algebra of a graph. Journal of Algebra, 293(2), 319-334.
Leavitt, W. G. (1962). The module type of a ring. Transactions of the American Mathematical Society, 103(1), 113-130.