论文标题

严格封闭环的建造

Construction of strictly closed rings

论文作者

Endo, Naoki, Goto, Shiro

论文摘要

J. Lipman与O. Zariski的猜想有关。目前的目的是提供一种实用的严格封闭环的构造方法。还表明,Simplicial复合物的Stanley-Reisner戒指(分别满足条件$(S_2)$的$ f $ pure-pure-pure-pure-pure-pure-pure-pure-pure-pure-pure)是严格关闭的(s_2)$(s_2)。

The notion of strict closedness of rings was given by J. Lipman in connection with a conjecture of O. Zariski. The present purpose is to give a practical method of construction of strictly closed rings. It is also shown that the Stanley-Reisner rings of simplicial complexes (resp. $F$-pure rings satisfying the condition $(S_2)$ of Serre) are strictly closed (resp. weakly Arf) rings.

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