hom-type代数的上链复形上的同伦G-代数结构
Homotopy G-algebra structure on the cochain complex of hom-type algebras
摘要：
自结合代数是其结合性被代数同态扭曲的代数。证明了hom-结合代数的Hochschild型上链复形具有同伦G-代数结构.由此，我们得到了一个关于hom-结合代数的上同调的Gerstenhaber代数结构.对于hom-dialgebras，我们也得到了类似的结果。
英文摘要：
A hom-associative algebra is an algebra whose associativity is twisted by an algebra homomorphism. We show that the Hochschild type cochain complex of a hom-associative algebra carries a homotopy G-algebra structure. As a consequence, we get a Gerstenhaber algebra structure on the cohomology of a hom-associative algebra. We also find similar results for hom-dialgebras.
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