Thanh bên bài viết

PDF
Ngày xuất bản: 10/10/2020
Ngày xuất bản Online: 10/10/2020
Số lượt xem tóm tắt: 34
Số lượt xem PDF: 22
DOI: https://doi.org/10.52714/dthu.9.5.2020.816
Số xuất bản
Tập 9 Số 5 (2020): Chuyên san Khoa học Tự nhiên (Tiếng Anh)
Chuyên mục
Khoa học Tự nhiên (Tiếng Anh)
Trích dẫn bài báo
Le, H. M. (2020). The jacobson radical types of Leavitt path algebras with coefficients in a commutative unital semiring. Tạp chí Khoa học Đại học Đồng Tháp, 9(5), 42-50. https://doi.org/10.52714/dthu.9.5.2020.816

The jacobson radical types of Leavitt path algebras with coefficients in a commutative unital semiring

Le Hoang Mai1,
1 Department of Mathematics Teacher Education, Dong Thap University, Vietnam

Nội dung chính của bài viết

Tóm tắt

In this paper, we calculate the J - radical and Js - radical of the Leavitt path algebras with coefficients in a commutative semiring of some finite graphs. In particular, we calculate J - radical and Js  - radical of the Leavitt path algebras with coefficients in a field of acyclic graphs, no-exit graphs and give applicable examples.

Chi tiết bài viết

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Từ khóa

Acyclic graph, J - radical of semiring, Js - radical of semiring, Leavitt path algebra, no-exit graph

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), 319-334.
Bourne, S. (1951). The Jacobson radical of a semiring. Proceedings of the National Academy of Sciences of the United States of America, (37), 163-170.
Golan, J. (1999). Semirings and their Applications. Kluwer Academic Publishers, Dordrecht-Boston-London.
Lizuka, K. (1959). On the Jacobson radical of a semiring. Tohoku Mathematical Journal, (11), 409-421.
Katsov, Y., & Nam, T. G. (2014). On radicals of semirings and ralated problems. Communication Algebra, (42), 5065-5099.
Leavitt, W. G. (1962). The module type of a ring. Transactions of the American Mathematical Society, (103), 113-130.
Katsov, Y., Nam, T. G., & Zumbrägel, J. (2017). Simpleness of Leavitt path algebras with coefficients in a commutative semiring. Semigroup Forum, (94), 481-499.
Mai, L. H., & Tuyen, N. X. (2017). Some remarks on the Jacobson Radical Types of Semirings and Related Problems. Vietnam Journal of Mathematics, (45), 493-506.
Nam, T. G., & Phuc, N. T. (2019). The structure of Leavitt path algebras and the Invariant Basis Number property. Journal of Pure and Applied Algebra, (223), 4827- 4856.
Tomforde, M. (2011). Leavitt path algebras with coefficients in a commutative ring. Journal of Pure and Applied Algebra, (215), 471-484.