algebra over a field 中文意思是什麼
algebra over a field
解釋
多元環-
Let d be a nonzero k - vector space of commuting - derivations of a. kaim - ing zhao and yucai su studied the associative algebra a [ d ] = ak [ d ] of weyl type constructed from the pair of a commutative associative algebra. 4 and its commutative derivation subalgebra d over a field k of arbitrary characteristic
趙開明和蘇育才研究了任意特徵的域上具有單位元的交換結合代數a和它的交換導子的子空間d所構造的weyl型代數。他們證明了a [ d ]是單lie代數的充分必要條件是a是d -單的且k _ 1 [ d ]忠實地作用在a上。 -
A sufficient and necessary condition for determining singularity of a block circulant matrix over a quaternion division algebra over a field is given, and two algorithms for the inverse of a nonsingular block circulant matrix over the quaternion division algebra are presented
?給出了域上的塊循環矩陣可逆性的充要條件及其逆矩陣的演算法。 ?給出了四元素可除代數上的塊循環矩陣可逆性的充要條件及其逆矩陣的兩種演算法。 -
An algorithm for grobner basis for an ideal of a polynomial ring over a group algebra of a finite group over a field is given
?給出了準確計算域上有限群的群代數上的多項式環的理想的gr （ ? ） bner基的演算法。 -
Algorithms for the minimal polynomial and the inverse of a given block symmetric circulant matrix over a group algebra of a finite group over a field are presented. and a method of determining singularity of this block symmetric circulant matrix is given
?給出了求域上有限群的群代數上的塊循環矩陣的極小多項式的演算法，西安電子科技大學博士學位論文:多項式代數及其應用奇異性判別法及其逆矩陣的求法 -
The definition of a mixed block matrix is given, and an algorithm for the inverse of a given mixed block matrix over a group algebra of a finite group over a field is presented, and a method of determining singularity of this mixed block matrix is given
?給出了域上有限群的群代數上的塊對稱循環矩陣的奇異性判別法及其逆矩陣求法. ，定義了域上有限群的群代數上的混合塊矩陣，並給出了它的可逆性的判別法及其逆矩陣的求法 -
It is proved that every nonzero ideal in a finite - dimensional semi - simple algebra over a field is generated by an unique central idempotent
證明了域上有限維半單代數的每一個非零理想由唯一的中心冪等元生成。
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