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 be a Noetherian local ring and be a finitely generated -module. In this talk, we construct almost p-standard systems of parameters (a strict subclass of d-sequences) of the idealization . 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.