Harry hurried over to the door leading to the spiral staircase, but his hand had only just closed upon the iron ring of the door when he heard running footsteps on the other side.

哈利匆匆跑向旋转楼梯的门，但他刚握住铁门环，就听见门的另一边传来奔跑的脚步声。

youdao

The two theorems are proved that any ring can be extended into an algebraically closed ring and that the quaternionic skew field over a real closed field is algebraically closed.

证明了任一环有代数封闭的扩张环，且实封闭域上的四元数体是代数封闭的，给出了代数封闭环的若干性质。

youdao

In the first chapter, we discuss the fully graded algebras over discrete valuation ring with an algebraically closed residue field of characteristic p.

第一章中，我们研究了剩余域是代数闭域的离散赋值环上的完全分次代数；

youdao