43 citations · 62 across the 18 of their papers we have counts for
18 papers
The first Hilbert coefficient of stretched ideals
Kazuho Ozeki
In this paper we explore the almost Cohen-Macaulayness of the associated graded ring of stretched -primary ideals with small first Hilbert coefficient in a Cohen-Maca…
The reduction number of stretched ideals
Kazuho Ozeki
The homological property of the associated graded ring of an ideal is an important problem in commutative algebra and algebraic geometry. In this paper we explore the almost Cohen-…
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…
On the structure of the Sally module and the second normal Hilbert coefficient
Shreedevi K. Masuti, Kazuho Ozeki, Maria Evelina Rossi +1
The Hilbert coefficients of the normal filtration give important geometric information on the base ring like the pseudo-rationality. The Sally module was introduced by W.V. Vasconc…
A filtration of the Sally module and the First normal Hilbert Coefficient
Shreedevi K. Masuti, Kazuho Ozeki, Maria Evelina Rossi
The Sally module of an ideal is an important tool to interplay between Hilbert coefficients and the properties of the associated graded ring. In this paper we give new insights on…
The structure of the Sally module of integrally closed ideals
Kazuho Ozeki, Maria Evelina Rossi
The first two Hilbert coefficients of a primary ideal play an important role in commutative algebra and in algebraic geometry. In this paper we give a complete algebraic structure…