| 1. | The algebra of quaternions, the first noncommutative algebra was thus suddenly born .
四元数的代数，第一非交换的代数，就这样突然诞生了。 |
| 2. | On noncommutative hopf - galois extensions
一致局部上同调零化子和多项式扩张 |
| 3. | Witten ' s star is noncommutative and associative
Witten的星乘积是不可交换的和可结合的。 |
| 4. | String theory and noncommutative geometry are modern ideas in physics
非对易是弦理论中的重要内容。 |
| 5. | Noncommutative gauge theory are discribed via two equivalent descriptions
非对易规范理论有两种等价的描述方法。 |
| 6. | Noncommutative space means the space that their coordinate do not commu - tute
非对易空间是指时空坐标不可相互交换的空间。 |
| 7. | But noncommutative geometry can not attract the physist ' s interest for a long time
但是长期以来，非对易几何并未在物理上受到人们的重视。 |
| 8. | This worth us further studying , we should to do so in noncommutative field theory
这是一个值得深究的问题。我们应该从非对易场论本身去研究它。 |
| 9. | Rieffel has presented a general formula for the projection operators on noncommutative torus
Rieffel曾经给出不可对易torus上的投影算子的普遍公式。 |
| 10. | Thus the study of projection operators in various noncommutative spaces are important in string theory
因此，研究各种空间的投影算子就显得非常重要。 |
