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。
In this paper, some methods of producing local skew quadrupole field in accelerator ring are studied.
本文研究了环形加速器中产生局部斜四极磁场的若干方法。
Arithmetic distance and distance of skew-Hermitian matrices over quaternion division ring with an involution
具有对合的四元素体上斜Hermitian矩阵的距离与算术距离
For the beam transport system in storage ring, linear coupling is mainly caused by skew quadrupole and longitudinal solenoid field.
在储存环的束流传输系统中，斜四极场和纵向螺线管场是引起束流线性耦合的主要原因。
It is also shown that if R is a commutative σ - rigid ring and the addition group of R is a torsion-free group, then the ring of skew Hurwitz series over R is weak PP if and only if R is weak PP.
还证明了若R是交换的σ-刚性环，且R关于加法做成的群是挠自由群时，R上的斜Hurwitz级数环是弱PP-环当且仅当R是弱PP-环。
This paper directs the elastic stiffness matrix and initial stress stiffness matrix of the circular ring element of skew cross section by the principle of minimun potential energy.
本文应用最小势能原理，推导出斜截面圆环梁单元的弹性刚度矩阵和初应力刚度矩阵。
Then, by choosing an appropriate homomorphism from skew-polynomial ring to the matrix ring, we can get an identity.
作为该恒等式的一个应用，我们适当选取斜多项式环到矩阵环的同态，得到一个恒等式。