1 citations · 1 across the 5 of their papers we have counts for
4 papers · 1 filter
On the sectional genera and Cohen-Macaulay rings
Shinya Kumashiro, Hoang Le Truong, Hoang Ngoc Yen
We explore the behavior of the sectional genera of certain primary ideals in Noetherian local rings. In this paper, we provide characterizations of a Cohen-Macaulay local ring in t…
On the set of Chern numbers in local rings
Hoang Le Truong, Hoang Ngoc Yen
This paper purposes to characterize Noetherian local rings such that the Chern numbers of certain -primary ideals in bounded above or range am…
On Hilbert coefficients and sequentially Cohen-Macaulay rings
Kazuho Ozeki, Hoang Le Truong, Hoang Ngoc Yen
In this paper, we explore the relation between the index of reducibility and the Hilbert coefficients in local rings. Consequently, the main result of this study provides a charact…
Hilbert functions of socle ideals
Hoang Le Truong, Hoang Ngoc Yen
In this paper, we explore a relationship between Hilbert functions and the irreducible decompositions of ideals in local rings. Applications are given to characterize the regularit…