结合代数 Associative algebra
在数学里,结合代数是指一矢量空间(或更一般地,一模),其允许矢量有具分配律和结合律的乘法。因此,它为一特殊的代数。
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词汇 | Linear associative algebra |
分类 | 英语词汇 英语翻译词典 |
释义 |
Linear associative algebra
中文百科
结合代数 Associative algebra(重定向自Linear associative algebra)
在数学里,结合代数是指一矢量空间(或更一般地,一模),其允许矢量有具分配律和结合律的乘法。因此,它为一特殊的代数。
英语百科
Associative algebra 结合代数(重定向自Linear associative algebra)
In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field. The addition and multiplication operations together give A the structure of a ring; the addition and scalar multiplication operations together give A the structure of a vector space over K. In this article we will also use the term K-algebra to mean an associative algebra over the field K. A standard first example of a K-algebra is a ring of square matrices over a field K, with the usual matrix multiplication. |
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