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Date Published:
10/10/2021
Online Published:
10/10/2021
Abstract Views: 30
Views PDF: 29
Views PDF: 29
Section
Natural Sciences Issue
How to Cite
Ngo, T. P., Tran, N. T., & Tang, V. N. T. (2021). The decomposition of cyclic modules in weighted Leavitt path algebra of reducible graph. Dong Thap University Journal of Science, 10(5), 10-14. https://doi.org/10.52714/dthu.10.5.2021.890
The decomposition of cyclic modules in weighted Leavitt path algebra of reducible graph
Main Article Content
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.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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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