具有相伴单位元的结合超代数的上同调

On the cohomology theory for associative superalgebra adjoining an identity element

同调与上同调理论在数学中占有很重要的地位。结合代数的上同调理论是十分丰富的,但是超代数的上同调理论还需要进一步的研究。本文结合超代数上同调群的定义,研究得到了具有相伴单位元1的结合超代数的上同调群的一些较好的性质。

The theory of homology and cohomology is very important in mathematics.The theory of cohomology for associative algebra is a lot, but the theory of cohomology for superalgebra needs more work.In the article,we apply the definition of cohomology for associative superalgebra and the measure and obtain some good characters.