The decomposition of cyclic modules in Leavitt path algebra
Main Article Content
Abstract
In this paper, we describe the structure of the cyclic module in the Leavitt path algebra generated by elements in the original graph.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
Leavitt path algebra, cyclic module, simple module
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.
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.
Most read articles by the same author(s)
- Tan Phuc Ngo, Ngoc Thanh Tran, Vo Nhat Trung Tang, The decomposition of cyclic modules in weighted Leavitt path algebra of reducible graph , Dong Thap University Journal of Science: Vol. 10 No. 5 (2021): Natural Sciences Issue (English)
- Thi Huong Tra Pham, Tan Phuc Ngo, Investigating the set of idempotents of Leavitt path algebra of the acyclic graphs , Dong Thap University Journal of Science: No. 32 (2018): Part B - Natural Sciences
- Nhan Khanh Vu, Tan Phuc Ngo, The Leavitt path algebras have Hermite property , Dong Thap University Journal of Science: No. 18 (2016): Part A - Social Sciences and Humanities
- Huu Tinh Nguyen, Tan Phuc Ngo, Investigating the ugn property of the leavitt path algebra on the power graph , Dong Thap University Journal of Science: No. 28 (2017): Part B - Natural Sciences
- Tan Phuc Ngo, Hệ tham số của môđun Muchsbaum , Dong Thap University Journal of Science: No. 6 (2013): Part B - Natural Sciences