Reflexive modules, old and new
Người báo cáo:
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.
Tin tức nổi bật
Hoạt động tuần
Hội thảo sắp diễn ra
Xuất bản mới
Vo Si Trong Long,
Nguyễn Mậu Nam,
Jacob Sharkansky,
Nguyễn Đông Yên,
Qualitative properties of k-center problems,
Journal of Optimization Theory and Applications Vol. 207 (2025), Paper 1, 23 pages
(SCI-E, Scopus)
.
Nguyễn Khoa Sơn,
Nguyễn Thị Hồng,
Lê Văn Ngọc,
Stability conditions for a class of nonlinear timevarying switched systems with delays and sectortype nonlinearities,
International Journal of Systems Science, Volume 57(2), (2025), 441-461
(SCI(-E); Scopus)
.
Trần Văn Thắng,
Lê Xuân Thanh,
Đỗ Thị Thùy,
A monotonic optimization approach to mixed variational inequality problems,
Optimization Letters, Volume 19, pages 1779–1800, (2025)
(SCI-E, Scopus)
.