3 papers
math.AC2026
Bounds on the second Hilbert coefficient and the depth of the associated graded ring
Clare D'Cruz, Mousumi Mandal, Shruti Priya
Let be a Noetherian local ring of dimension with and let be an -primary ideal. In this paper, we study b…
math.AC2026
A note on Ratliff-Rush filtration, reduction number and postulation number of -primary ideals
Mousumi Mandal, Shruti Priya
Let be a Cohen-Macaulay local ring of dimension and an -primary ideal. Let rd be the reduction number of and n the postul…
math.AC2026
Bounds on the Ratliff-Rush Index and the Castelnuovo-Mumford Regularity
Mousumi Mandal, Shruti Priya
Let be a Cohen-Macaulay local ring of dimension and an -primary ideal of Denote as the reduction number of with…