Hochschhild(T-)上同调的广义(T-)导子的提升

The lifting of general (T-) derivations on Hochschild (T-) cohomology

由Hochschild(T-)上同调中的(T-)导子提升问题,考虑代数到其双模上的广义(T-)导子的提升,即定理1:设I为域F上的结合代数A的双边理想,M是A-双模,且作为域F上的向量空间是有限维的,N是M的A-双子模且IMNM若H^2(A,N)=0,则对于任意由A/I到M/N的广义导子f_0∈Z^1(A/I,M/N),存在由A到M的广义导子f∈Z^1(A,M),使得p'f=f_0p;和定理2,3,4。

According to the lifting of (T-) derivations on Hochschild (T-) cohomology, the lifting of general (T-) derivations from algebras to their bimodules is considered, i. e., Theorem 1: let I be an ideal of a F - algebra A, M an A - bimodule with finite dimension over F, and N an A-bisubmodule of M with IM N MI,if H2(A,N) =0, then for any general derivation ,there exists (A,M),s.t., p'f=f0p;and Theorem 2, 3, 4.