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| Z_n分次代数的Hochschild上同调群 | |
| 引用本文： | 侯波,徐运阁. Z_n分次代数的Hochschild上同调群[J]. 数学进展, 2011, 0(6) |
| 作者姓名： | 侯波 徐运阁 |
| 作者单位： | 北京工业大学应用数理学院;湖北大学数学与计算机科学学院; |
| 基金项目： | 国家自然科学青年基金(No10501010) |
| 摘 要： | 本文给出了Z_n分次代数A的Hochschild上同调群的定义,对低阶Hochschild上同调群进行了刻画.利用第一阶Hochschild上同调群给出了Z_n分次代数为分次可分代数的充要条件,证明了第二阶Hochschild上同调群的零次分支与A的Hochschild扩张之间的一一对应关系. |
| 关 键 词： | Z_n分次代数 Hochschild上同调群 分次可分代数 Hochschild扩张 |
Hochschild Cohomology Groups of the Z_n Graded Algebras |
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| HOU Bo,XU Yunge. Hochschild Cohomology Groups of the Z_n Graded Algebras[J]. Advances in Mathematics(China), 2011, 0(6) | |
| Authors: | HOU Bo XU Yunge |
| Affiliation: | HOU Bo~(1,2),XU Yunge~2 (1.College of Applied Sciences,Beijing University of Technology,Beijing,100124,P.R.China,2.School of Mathematics and Computer Science,Hubei University,Wuhan,Hubei,430062,P.R.China) |
| Abstract: | In this note the definition of Hochschild cohomology groups of Z_n-graded algebras is given,and the low dimensional Hochschild cohomology groups are described.Moreover, a necessary and sufficient condition for a Z_n-graded algebra to be a graded separable algebra is given in terms of the first Hochschild cohomology group,and the one-to-one correspondence between the zero degree component of the second Hochschild cohomology group and the Hochschild extensions of A is obtained. |
| Keywords: | Z_n graded algebra Hochschild cohomology group graded separable algebra Hochschild extension |
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