37 citations
4 papers
Generic initial ideals, graded Betti numbers and -Lefschetz properties
Tadahito Harima, Akihito Wachi
We introduce the -strong Lefschetz property (-SLP) and the -weak Lefschetz property (-WLP) for graded Artinian -algebras, which are generalizations of the Lefschetz…
Shock oscillation model for QPOs in stellar-mass and supermassive black holes
T. Okuda, V. Teresi, D. Molteni
We numerically examine centrifugally supported shock waves in 2D rotating accretion flows around a stellar-mass (10M_sun) and a supermassive (10^6M_sun) black holes over a wide ran…
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…
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…