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math.AC2021
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…
math.AC2021
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-…
math.AC2021★ 1 cited
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…