Leavitt path algebras whose every Lie ideal is an ideal and applications
Người báo cáo: Huỳnh Việt Khánh
Time: 9:30 -- 11:00, May 24th, 2023.
Venue: Room 612, A6, Institute of Mathematics, VAST
Abstract: In this talk, we classify all Leavitt path algebras which have the property that every Lie ideal is an ideal. We also give a necessary and sufficient condition for an ideal of an arbitrary Leavitt path algebra to be Lie solvable. As an application of the obtained results, we show that Leavitt path algebras with the property provide a class of locally finite, infinite-dimensional Lie algebras whose locally solvable radical is completely determined. This particularly gives us a new class of semisimple Lie algebras.
Tin tức nổi bật
Hoạt động tuần
Hội thảo sắp diễn ra
03/08/26, Hội nghị, hội thảo:
Summer School "Complex Networks: Theory and Practice" (part 2 of Thematic Semester "GRAPHS AND BEYOND")
13/10/26, Hội nghị, hội thảo:
International Workshop on Optimization, Variational Analysis, and Control Theory
09/11/26, Hội nghị, hội thảo:
Workshop on singularities and related topics (Conference in memory of Professor Lê Dũng Tráng)
Xuất bản mới
La Văn Thịnh,
Hoàng Thế Tuấn,
On the Mittag–Leffler Stability of Mixed-Order Fractional Homogeneous Cooperative Delay Systems,
Vietnam Journal of Mathematics, Volume 54, pages 773–789 (2026)
Đỗ Minh Thắng,
Sonja Hannibal,
Arnulf Jentzen,
Non-convergence to global minimizers in data driven supervised deep learning: Adam and stochastic gradient descent optimization provably fail to converge to global minimizers in the training of deep neural networks with ReLU activation,
Journal of Mathematical Analysis and Applications, 564 (2026) 130724
Le Thi Hong Hanh,
Dương Trọng Luyện,
Nguyễn Minh Trí,
Nontrivial Solutions to Boundary Value Problems for Semilinear $\Delta ^{\alpha ,\beta }_{\alpha _1,\beta _1}$-Differential Equations,
Analysis and PDE in Developing Countries, Trends in Mathematics (TM, volume 17) (2026) pp 27–35, Birkhäuser/Springer, Cham, 2026 ISBN: 978-3-032-14210-8; 978-3-032-14211-5