1) complemented closed disk algebra
补闭圆盘代数
1.
It is shown that the complemented closed disk algebra is a representation for the relation algebra determined by the RCC11 table,which was first described by Dntsch.
证明了补闭圆盘代数恰好构成RCC11复合表的一个表示,其中,RCC11复合表是由Düntsch于1999年引入的。
2) Sobolev disk algebra
Sobolev圆盘代数
1.
We study the invariant subspaces of the operator M_z on the Sobolev disk algebra R(D).
研究了Sobolev圆盘代数R(D)上乘自变量算子M_z的不变子空间,给出了M_z在任何不变子空间上限制的基本性质,证明了M_z分别限制在两个不变子空间上酉等价当且仅当这两个不变子空间相等,并描述了M_z的一类公共零点在边界的不变子空间的结构。
2.
In this paper, we study the invariant subspaces of the operator Mz on the Sobolev disk algebra R(D) and characterize the invariant subspace with finite codimension.
本文研究了Sobolev圆盘代数R(D)上的乘法算子M_z的不变子空间,完全刻画了余维有限的不变子空间的结构。
3) closed disk
闭圆盘
4) circular iteration
圆盘迭代
5) algebraically closed field
代数闭域
1.
In this paper,we discuss the classification of 3-dimensionally commutative algebras on algebraically closed field.
研究了代数闭域上三维交换代数的分类。
2.
A theorem of integral divisibility for multivariate polynomial ring C[x 1,x 2,…,x n] on complex number field is given in [1], this paper extends the theorem to the case of k[x 1,x 2,…,x n] , where k is any algebraically closed field.
[1 ]给出复数域C上多元多项式环 C[x1 ,x2 ,… ,xn]的一类整除性定理 ,本文把它推广为任意代数闭域 k上多元多项式环 k[x1 ,x2 ,… ,xn]的情形 。
6) algebraically closed
代数封闭
1.
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。
补充资料：代数闭域
代数闭域
algebraically closed field
代数闭域【aigeb面回lyd姗d云eld“别.‘钾坪长。.3洲-幻乃7T此助月e] 域k.其l二的任何非零次多项式在丸中至少有个根.事实上，由此可推出一个代数闭域k上的任何。次多项式在k中恰有n个根，也即多项式环k【习中任不可约多项式都是一次的.域人是代数闭的，当且仅当它没有真的代数扩张(见域的扩张(extens，on of a field))·任何域k都有唯一的(仅差一同构)代数闭的代数.扩张;称之为k的华攀甲粤(al罗bra，e dosure)，通常用k表示.包含人的任何代数闭域都包含一个与万同构的子域. 复数域是实数域的代数闭包.这就是代数学基本定理(algebra，fundamental重heorem of).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条