As its application, a multi-component system similar to the BPT hierarchy is obtained.

最后利用外积性质构造3 维loop代数 ,由此可设计出许多新等谱问题，作为应用，本文得到类似多分量Boite-Pempinelli-Tu(BPT)族。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

在复平面C中，任意有界域拓扑边界上连续函数代数K_1-群与其边界上上同伦群同构。

In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.

本文中，我们证明作为泛代数半格定义与作为半格定义是等价。

In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.

文章通过李子群性质得出李群两李子群交依然是李子群结论,进而得出这李子群李代数形式。

As its application, a multi-component system similar to the BPT hierarchy is obtained.

最后利用外积性质构造了一个3 维loop代数 ,由此可设计出许多新等谱问题，作为应用，本文得到了一个类似多分量Boite-Pempinelli-Tu(BPT)族。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

在复平面C中，任意有边上连续函数代数K_1-群与其边上上同伦群同构。

In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.

本文中，我们证明了作为泛代数半格定义与作为偏序集半格定义是等价。

In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.

文章通过李子群性质得出了李群两个李子群交依然是李子群结论,进而得出这一李子群李代数形式。

As its application, a multi-component system similar to the BPT hierarchy is obtained.

最后利用外积性质构造了一个3 维loop代数 ,由此可设计出许多新等谱问题，作为应用，本文得到了一个类似多分量Boite-Pempinelli-Tu(BPT)族。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

在复平面C中，任有域拓上连续函数代数K_1-群与其上上同伦群同构。

In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.

本文中，我们证明了作为泛代数半格定义与作为偏序集半格定义是等价。

In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.

文章通过李子群性质得出了李群两个李子群交依然是李子群结论,进而得出这一李子群李代数形式。

As its application, a multi-component system similar to the BPT hierarchy is obtained.

最后利用外积性质构造了一个3 维loop代数 ,由此可设计出许等谱问题，应用，本文得到了一个类似分量Boite-Pempinelli-Tu(BPT)族。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

在复平面C中，任意有界域拓扑边界上连续函数代数K_1-群与其边界上上同伦群同构。

In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.

本文中，我们证明了代数半格定义与偏序集半格定义是等价。

In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.

文章通过李子群性质得出了李群两个李子群交依然是李子群结论,进而得出这一李子群李代数形式。

As its application, a multi-component system similar to the BPT hierarchy is obtained.

最后利用外积性质构造了一个3 维loop代数 ,由此可设计出许多新等谱问题，作为应用，本文得到了一个类似多分量Boite-Pempinelli-Tu(BPT)族。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

在复平面C中，任意有界域拓扑边界上连续函数代数K_1-群与其边界上上同伦群同构。

In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.

本文中，我们证明了作为泛代数半格定义与作为偏序集半格定义是等价。

In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.

文章子群性质得出了群两个子群交依然是子群结论,进而得出这一子群代数形式。

As its application, a multi-component system similar to the BPT hierarchy is obtained.

最后利用外积性质构个3 维loop代数 ,由此可设计出许多新等谱问题，作为应用，本文得到个类似多分量Boite-Pempinelli-Tu(BPT)族。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

在复平面C中，任意有界域拓扑边界上连续函数代数K_1-群与其边界上上同伦群同构。

In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.

本文中，我们证明作为泛代数半格定义与作为偏半格定义是等价。

In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.

文章通过李子群性质得出李群两个李子群交依然是李子群结论,进而得出这李子群李代数形式。

As its application, a multi-component system similar to the BPT hierarchy is obtained.

最后利用外积性质构造了一个3 维loop代数 ,由此可设计出许多新等谱问题，作为应用，本文得到了一个类似多分量Boite-Pempinelli-Tu(BPT)族。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

在复平面C中，任意有界域拓扑边界上连续函数代数K_1-与其边界上上同伦同构。

In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.

本文中，我们证明了作为泛代数半格定义与作为偏序集半格定义是等价。

In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.

文章通过李性质得出了李两个李交依然是李结论,进而得出这一李李代数形式。

As its application, a multi-component system similar to the BPT hierarchy is obtained.

最后利用外积性构造了一个3 维loop代数 ,由此可设计许多新等谱问题，作为应用，本文到了一个类似多分量Boite-Pempinelli-Tu(BPT)族。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

在复平面C中，任意有界域拓扑边界上连续函数代数K_1-群与其边界上上同伦群同构。

In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.

本文中，我们证明了作为泛代数半格定义与作为偏序集半格定义是等价。

In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.

文章通过李子群性了李群两个李子群交依然是李子群结论,进而这一李子群李代数形式。

As its application, a multi-component system similar to the BPT hierarchy is obtained.

最后利用外积性质造了一个3 维loop代数 ,由此可设计出许多新等谱问题，作为应用，到了一个类似多分量Boite-Pempinelli-Tu(BPT)族。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

在复平面C中，任意有界域拓扑边界上连续函数代数K_1-与其边界上上伦。

In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.

中，我们证明了作为泛代数半格定义与作为偏序集半格定义是等价。

In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.

章通过李子性质出了李两个李子交依然是李子结论,进而出这一李子李代数形式。