| 1. | On the homology and cohomology groups of associative sup eralgebras
结合代数的同调与上同调 |
| 2. | Cohomology groups of 3 - lie algebras
代数的上同调群 |
| 3. | Singular cohomology group
奇异上同调群 |
| 4. | The relationship of simple connectedness and 1 hochschild cohomology group is very clear for representation - finite algebras
单连通性和一次hochschild上同调群之间的联系，在有限表示型的情形已经很清楚了。 |
| 5. | Lower degree hochschild cohomology group have a very concrete interpretation of classic algebraic structure , especially , there are inner connection between 1 hochschild cohomology group and simply connected algebra
低次的hochschild上同调群对于典型的代数的结构有具体的解释，尤其是一次的hochschild上同调群与单连通代数有着内在的联系。 |
| 6. | By using two kinds of affine representations of lie color algebras and the first cohomology group , we obtain some necessary or sufficient conditions to the problem whether there is any left color sysmmetric structure on a given lie color algebra which generalize the result of [ 2 ]
利用着色李超代数的两种仿射表示和1 -上同调群，得出左着色对称结构存在的几个充分或必要条件，推广了文[ 2 ]的结论。 |
| 7. | E for an algebra of minimal representation - infinite type with preprojective component , it is simply connected if and only if the vanishing of 1 hochschild cohomology group ; the same conclusion is true for a general algebra with minimal representation - infinite type . in chapter 3 , we computed the fundamental group for hereditary algebra and other special cases , and studied the fundamental group under one point extension
在第二章中我们得到了极小无限表示型代数单连通性的一些结论：对于具有预投射分支的极小无限表示型代数，它是单连通当且仅当其一次hochschild上同调群为零；而对于一般情形的极小无限表示型代数，也是如此。第三章中，我们对基本群在遗传代数等几种特殊情况下，对于一些例子作了计算。 |
