Xuất bản mới
Trần Hùng Cường, Yongdo Lim, Nguyễn Đông Yên, On a solution method in indefinite quadratic programming under linear constraints, Optimization, Volume 73, 2024 - Issue 4, Pages 1087-1112 (SCI-E, Scopus) .
Yongdo Lim, Hoàng Ngọc Tuấn, Nguyễn Đông Yên, Local Error Bounds for Affine Variational Inequalities on Hilbert Spaces,, Numerical Functional Analysis and Optimization, Volume 45, 2024, Issue 1, Pages 1-15 (SCI-E, Scopus) .
Đỗ Thái Dương, Nguyễn Văn Thiện, On the finite energy classes of quaternionic plurisubharmonic functions, Journal of Mathematical Analysis and Applications, Volume 541, Issue 1, January 2025, 128736 (SCI-E, Scopus) .

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.