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和地 輝仁
ワチ アキヒト WACHI Akihito 所 属 釧路校 職 名 教授 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 2009/11 |
| 形態種別 | 学術雑誌 |
| 査読 | 査読あり |
| 標題 | Generic initial ideals, graded Betti numbers, and $k$-Lefschetz properties. |
| 執筆形態 | 共著 |
| 掲載誌名 | Communications in Algebra |
| 出版社・発行元 | Taylor & Francis |
| 巻・号・頁 | 37(11),pp.4012-4025 |
| 著者・共著者 | Harima, Tadahito; Wachi, Akihito
(there is not the notion of first author in mathematics) |
| 概要 | We introduce the k Lefschetz properties for graded Artinian K-algebras.
1. Let I be an ideal of R=K[x_1, x_2,..., x_n] whose quotient ring R/I has the n-SLP. Suppose that all k-th differences of the Hilbert function of R/I are quasi-symmetric. Then the generic initial ideal of I is the unique almost revlex ideal with the same Hilbert function as R/I. 2. We give a sharp upper bound on the graded Betti numbers of Artinian K-algebras with the k-WLP and a fixed Hilbert function. |