Tight Buchsbaum ring
Người báo cáo: Phạm Hùng Quý
Time: 9:30 - 11:00, March 08, 2023.
Venue: Room 612, A6, Institute of Mathematics, VAST
Abstract: A Noetherian local ring $(R,m)$ is called Buchsbaum if the difference $length(R/fq)-e(fq, R)$, where $fq$ is an ideal generated by a system of parameters, is a constant independent of $fq$. In this article, we study the tight closure analog of this condition. We prove that in an unmixed excellent local ring $(R,m)$ of prime characteristic $p>0$ and dimension at least one, the difference $e(fq, R)-length(R/fq^*)$ is independent of $fq$ if and only if the parameter test ideal $tau_{pa}(R)$ contains $m$. This is a joint work with Linquan Ma.
Tin tức nổi bật
Hoạt động tuần
Hội thảo sắp diễn ra
15/07/26, Hội nghị, hội thảo:
Hình học tôpô và các chủ đề liên quan
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
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)
Đinh Nho Hào,
Maxim Shishlenin,
Van Ba Cong,
Stable Numerical Solution to Multi-dimensional Nonlinear Inverse Heat Conduction Problems via Artificial Neural Networks,
Lobachevskii Journal of Mathematics, Volume 47, pages 1213–1232 (2026)