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) .

Reflexive modules, old and new

Người báo cáo: Đào Hải Long (University of Kansas, USA)

Time: 9:30 -- 11:00, July 5th, 2023.

Venue: Room 612, A6, Institute of Mathematics, VAST

Abstract: Reflexivity is a fundamental notion appearing in many areas of mathematics. Over a commutative ring $R$, an $R$-module $M$ is called reflexive if the natural map from $M$ to $M^{**}$ is an isomorphism, where $M^*$ denote the module of $R$-linear maps from $M$ to $R$. Under mild conditions, reflexivity reduces to the local case of Krull dimension at most one. Despite the classical and elementary nature, the problem of understanding reflexive modules over curve singularities have not been well-understood. I will present many new results in this direction, and sketch connections to trace ideals, $I$-Ulrich modules and Arf singularities.