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