associative algebra meaning in English

结合代数

Let k be an algebraically closed field and a be a commutative associative algebra with an identity element 1
设a是代数闭域k上具有单位元1的交换结合代数， d是由a的可交换的k -导子所张成的k -线性空间。
In the second section , we will present a ring - theoretical proof for the necessary and sufficient condition for a [ d ] to be simple , as an associative algebra
第二节给出了a [ d ]作为结合代数是单的充分必要条件的一个环论的证明。
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
赵开明和苏育才研究了任意特征的域上具有单位元的交换结合代数a和它的交换导子的子空间d所构造的weyl型代数。他们证明了a [ d ]是单lie代数的充分必要条件是a是d -单的且k _ 1 [ d ]忠实地作用在a上。