论文标题
理想的根闭合
Root closure of ideals
论文作者
论文摘要
我们在与根闭合的环操作有关的换向环中的理想中介绍了两个封闭操作。一个闭合是在理想上迭代类似根状的操作的结果，而另一个闭合是作为应用于理想的REES代数的根部闭合的分级成分而产生的。我们研究这些封闭的特性，并证明它们是不同的操作。
We introduce two closure operations on ideals in commutative rings related to the ring operation of root closure. One closure is the result of iterating a root-like operation on ideals infinitely many times, and the other closure arises as a graded component of the root closure of the Rees algebra applied to an ideal. We study the properties of these closures and prove they are distinct operations.
