论文标题
某些毛毛虫和龙虾树的边缘理想的深度和斯坦利深度
Depth and Stanley depth of powers of the edge ideals of some caterpillar and lobster trees
论文作者
论文摘要
让$ s $是在一个字段上有限的许多变量中的多项式环。在本文中，我们为$ t \ geq1 $的类型$ s/i^t $模块的深度和斯坦利深度提供了较低的界限，其中$ i $是某些毛毛虫和龙虾树的优势。这些新界限比我们考虑的理想类别的现有界限要高得多。
Let $S$ be a ring of polynomials in finitely many variables over a field. In this paper we give lower bounds for depth and Stanley depth of modules of the type $S/I^t$ for $t\geq1$, where $I$ is the edge ideal of some caterpillar and lobster trees. These new bounds are much sharper than the existing bounds for the classes of ideals we considered.
