1) Hochschild homology group
Hochschild同调群
1.
Based the minimal projective bimodular resolution constructed by Buchweitz et al, the dimensions of all Hochschild homology groups of Aq are calculated explicitly.
设Aq=k／(x2,xy+qyx,y2)是含有两个变量的广义外代数,基于Buch- weitz等人构造的极小投射双模解,广义外代数的各阶Hochschild同调群的维数被清晰地计算。
2) Hochschild cohomology group
Hochschild上同调群
1.
Hochschild cohomology groups of the hereditary algebras with three simple modules;
具有三个单模的有限维遗传代数的Hochschild上同调群
2.
Based on the minimal projective bimodule resolution constructed by Bardzell,the dimensions of all Hochschild cohomology groups ofΛ_d are calculated explicitly in terms of combinatorics.
设Λ_d是Fibonacci代数,基于对Bardzell极小投射双模分解的细致分析,用组合的方法清晰地计算了Fibonacci代数Λ_d的各阶Hochschild上同调群的维数。
3.
Based on the minimal pro- jective bimodule resolution constructed by Bardzell,the dimensions of all Hochschild cohomology groups of A are explicitly calculated.
设A是有限表示型遗传代数A=kQ的投射模范畴proj A上的根双模rad(-,-)所对应的拟遗传代数,基于Bardzell构造的极小投射双模分解,A的各阶Hochschild上同调群的维数被清晰地计算。
3) Hochschild cohomology
Hochschild上同调群
1.
In this note the formu- lae on the dimensions of the first and the second Hochschild cohomology groups of l-hereditary algebras are obtained explicitly.
设∧是域k上的有限维代数,则∧的低阶Hochschild上同调群在有限维代数的表示理论中扮演着重要的角色,该文得到了l-遗传代数的一阶和二阶Hochschild上同调群的维数方程。
2.
In this thesis we dicuss the category RepR of representations of generalized path algebras ,Hochschild cohomology of generalized path algebras, Hochschild cohomology of quotients of generalized path algebras.
本文研究了广义路代数的表示范畴和广义路代数以及广义路代数商代数的Hochschild上同调群。
4) Hochschild cohomology
Hochschild上同调
1.
According to the properties of path coalgebras,using the definition and methods of calculating Hochschild cohomology given by Doi Y,as well as the researching methods of Hochschild cohomology in algebras,we study the coradicals of path coalgebras,the Hochschild cohomology of path coalgebras and quotient coalgebras of path coalgebras.
根据路余代数的性质,利用Hochschild上同调的定义与计算方法,借鉴代数中的Hochschild上同调的研究方法,研究了路余代数的余根、路余代数及路余代数的商余代数的Hochschild上同调。
5) Hochschild homology
Hochschild同调
1.
For a path algebra A = kQ with Q an arbitrary quiver, consider the Hochschild homology groups Hn(A) and the homology groups TornAe(A, A), where Ae is the enveloping algebra of A.
对任意箭图Q,我们研究路代数A=kQ的Hochschild同调群H_n(A)和同调群Tor_n~(A~E)(A,A),其中A~e是代数A的包络代数。
2.
In this paper, Firstly, we researched the Hochschild homology of algebras with heredity ideals.
代数的Hochschild同调和上同调的研究始于G。
6) Local Hochschild homology
局部Hochschild同调
补充资料：同调群
| 同调群 homology group 代数拓扑的概念。同调的直观解释如下：如图，在圆环中闭曲线C1是所围区域的边界，称为一维闭链C1同调于零；而C2、C3都不是自己所围区域的边界，称C2和C3均是不同调于零的闭链。但C2和C3合起来是共同所围区域的边界，则称一维闭链C2和C3同调。类似地可对各维闭链定义同调的概念。用同调这等价关系对各维闭链进行等价分类，就得到各维同调群，用它来刻画拓扑空间包含各维洞的情况。
H.庞加莱从1895年起为对同调概念进行一般讨论 ，引进了可剖分为复形的空间，从此产生了组合拓扑学。关于同调群的理论，就已成为代数拓扑的内容极其丰富的组成部分。 |
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参考词条