论文标题
封闭的社区理想和主导理想的正态性和相关素数
Normality and associated primes of Closed neighborhood ideals and dominating ideals
论文作者
论文摘要
在本文中，我们首先为单一理想的正态性提供了一些足够的标准。作为应用程序，我们表明，完整的两分图的封闭邻居理想是正常的，因此满足了（强）持久性能。我们还证明，完整的两分图的理想几乎通常不含扭转。此外，我们表明，在某些条件下，$ h $轮式图的主导理想是正常的。
In this paper, we first give some sufficient criteria for normality of monomial ideals. As applications, we show that closed neighborhood ideals of complete bipartite graphs are normal, and hence satisfy the (strong) persistence property. We also prove that dominating ideals of complete bipartite graphs are nearly normally torsion-free. In addition, we show that dominating ideals of $h$-wheel graphs, under certain condition, are normal.
