Hom-结合超代数的表示和上同调

摘要

Associative superalgebras is important for study of algebra structure. Firstly, the definitions of representation and bimodule of Hom-associative superalgebras are given and some basic properties of them are studied.Then,theoremδn Homδn-1Hom =0 is obtained by using the representation and bimodule,and the definition of the cohomology of Hom-associative superalgebras is given.%结合超代数对代数结构研究具有重要意义。首先给出了 Hom-结合超代数表示和双模的定义,并研究了它们的一些基本性质,进而利用此表示和双模给出了定理δnHomδn-1Hom =0,从而得到 Hom-结合超代数上同调的定义。