The decomposition of cyclic modules in weighted Leavitt path algebra of reducible graph

Ngo Tan Phuc1, , Tran Ngoc Thanh2, Tang Vo Nhat Trung2
1 Department of Mathematics Teacher Education, Dong Thap University, Vietnam
2 Student, Department of Mathematics Teacher Education, Dong Thap University, Vietnam

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Tóm tắt

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

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Tài liệu tham khảo

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.
Hazrat, R., & Preusser, R. (2017). Applications of normal forms for weighted Leavitt path algebras: simple rings and domains. Algebras and Representation Theory, 20, 1061-1083.
Leavitt, W. G. (1962). The module type of a ring. Transactions of the American Mathematical Society, 103(1), 113-130.
Ngo, T. P., Tran, N. T., & Tang, V. N. T. (2020). The decomposition of cyclic modules in Leavitt path algebra. Dong Thap University Journal of Science, 9(3), 23-26. https://doi.org/10.52714/dthu.9.3.2020.787