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。

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定义与作为偏序集定义是等价。

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，有域拓扑连续函数代数K_1-群与其同伦群同构。

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定义与作为偏序集定义是等价。

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，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，明了为泛代数半格定义与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。

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定义与作为偏序集定义是等价。

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，用，本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，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，们证明了泛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.

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 ,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)。

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.

复平面C中，任意有界域拓扑边界上连续函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形式。

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

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。

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。