Hokkaido University of Education

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20062009

most citedShock oscillation model for QPOs in stellar-mass and supermassive black holes

37 citations

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math.AC2009

Generic initial ideals of some monomial complete intersections in four variables

Tadahito Harima, Sho Sakaki, Akihito Wachi

Let $R = K [x_{1}, x_{2}, x_{3}, x_{4}]$ be the polynomial ring over a field of characteristic zero. For the ideal $(x_{1}^{a}, x_{2}^{b}, x_{3}^{c}, x_{4}^{d}) \subset R$ , where at least one of $a$ , $b$ ,…

math.AC2007★ 2 cited

Generic initial ideals, graded Betti numbers and $k$ -Lefschetz properties

Tadahito Harima, Akihito Wachi

We introduce the $k$ -strong Lefschetz property ( $k$ -SLP) and the $k$ -weak Lefschetz property ( $k$ -WLP) for graded Artinian $K$ -algebras, which are generalizations of the Lefschetz…

math.AC2007

The strong Lefschetz property for Artinian algebras with non-standard grading

Tadahito Harima, Junzo Watanabe

We define the strong Lefschetz property for finite graded modules over graded Artinian algebras whose grading is not necessarily standard. We show that most results which have been…

math.AC2006

The central simple modules of Artinian Gorenstein algebras

T. Harima, J. Watanabe

Let A be a standard graded Artinian algebra over a field of characteristic zero and let z be a linear form in A. We define the central simple modules for each such pair (A, z). Ass…

Generic initial ideals of some monomial complete intersections in four variables

Generic initial ideals, graded Betti numbers and k-Lefschetz properties

The strong Lefschetz property for Artinian algebras with non-standard grading

The central simple modules of Artinian Gorenstein algebras

Generic initial ideals, graded Betti numbers and $k$ -Lefschetz properties