We reprove the following theorem with a simpler means: theorem: let a is the solvable algebra, then a is the local nilpotent algebra.
用一种简单的方法重新证明了以下定理：定理：假设A是可解的交错代数，则A是局部幂零的交错代数。
Furthmore and it is proved that every 2-local isometry of TUHF algebra is linear.
进一步证明了TUHF代数上满的2 -局部等距为线性。
We also prove that every 2-local isomety of UHF algebra is linear by studying the structure of the surjective isometry on UHF algebra.
对于UHF代数上满等距的结构，还证明了UHF代数上的2局部（满线性）等距是线性的。
The important relationship between local vertex Lie algebra and vertex algebra is stated so that we could construct a vertex algebra from local vertex Lie algebra.
根据局部顶点李代数的同态，可惟一地诱导出由它们分别构造所得的顶点代数之间同态的理论。
The important relationship between local vertex Lie algebra and vertex algebra is stated so that we could construct a vertex algebra from local vertex Lie algebra.
根据局部顶点李代数的同态，可惟一地诱导出由它们分别构造所得的顶点代数之间同态的理论。
应用推荐