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math.AC2022
On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules
Nguyen Tu Cuong, Nguyen Tuan Long, Hoang Le Truong
This paper shows that if is a homomorphic image of a Cohen-Macaulay local ring, then -module is sequentially generalized Cohen-Macaulay if and only if the difference bet…
math.AC2022
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…
math.AC2022
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…