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1)  closed subalgebra
闭子代数
2)  Z-algebraic Closure Operators
Z-代数闭包算子
3)  algebraic closure operator
代数闭包算子
4)  σ weakly closed triangular subalgebra
σ-弱闭三角子代数
1.
We give a detailed description of the structure of a σ weakly closed Lie ideal in a σ weakly closed triangular subalgebra A of an AF von Neumann algebra B with Cartan subalgebra D.
描述了AF von Neumann代数B中对角为Cartan子代数D的σ-弱闭三角子代数A的σ-弱闭Lie理想。
5)  algebraic L-fuzzy closure operator
代数的L-fuzzy闭包算子
1.
When L is a finite distributive lattice,the algebraic L-fuzzy closure operator and the equivalent characterizations of L-fuzzy closure system induced by algebraic L-fuzzy closure operator are discussed.
当L为有限分配格时,讨论了代数的L-fuzzy闭包算子及其所诱导的闭包系统的等价刻画。
6)  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 。
补充资料:代数闭包


代数闭包
algebraic closure

代数闭包【滋geb面cd仍眠;朗re6p绷ec劝e期一l,域k的 域k的代数扩张(见域的扩张(extension ofafield)),使之成为一个代数闭域(algcbrai以lly closedfield).每个域都存在这样的扩张且在同构意义下是唯一的.实数域的代数闭包是复数域(见代数学基本定理(al罗bra,fundamental theorem of)).
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