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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) .

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.