On almost p-standard system of parameters of idealization and applications
Người báo cáo: Phạm Hồng Nam (Đại học Khoa học - Đại học Thái Nguyên)
Speaker: Phạm Hồng Nam (Trường ĐHKH Thái Nguyên)
Time: 9:30 -- 11:00, October 25, 2023.
Venue: Room 612, A6, Institute of Mathematics, VAST
Abstract: Let $(R,frak m)$ be a Noetherian local ring and $M$ be a finitely generated $R$-module. In this talk, we construct almost p-standard systems of parameters (a strict subclass of d-sequences) of the idealization $Rltimes M$. As applications, we give a class of Cohen-Macaulay Rees algebras for idealizations, Cohen-Macaulay Rees modules for unmixed modules, and give precise formulas computing all Hilbert coefficients of the idealization with respect to an almost p-standard system of parameters.
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
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
Adam Czornik,
Đoàn Thái Sơn,
Nguyễn Thị Thu Sương,
Pole Placement Theorem for Linear Measurable Time-Varying Control Systems with Single Input,
SIAM Journal on Control and Optimization, Vol. 64, Iss. 4 (2026)