On almost p-standard system of parameters of idealization and applications

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.