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 ,由此可设计新等谱问题，作为应用，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了李群两个李子群交依然是李子群结论,进而得这一李子群李形式。

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 ,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C中，任意有界域拓扑边界上连代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C，意有界域拓扑边界函数代数K_1-群与其边界同伦群同构。

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，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 ,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.

面C中，任意有界域拓扑边界上连续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.

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 ,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.

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.

最后利用外积性质构造了3 loop代数 ,由此可设计出许多新等谱问题，作应用，本文得到了类似多分量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，我们证明了作泛代数半格定义与作集半格定义是等价。

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数 ,由此可设计出等谱问题，作应用，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，我们证明了作数半格定义与作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数形式。