FC-投射复形

FC-projective complexes

讨论了FC-投射复形的基本同调性质,证明了复形C是FC-投射复形当且仅当其每个层次的模都是FC-投射模,并且对任意有限余表示复形Q,(C,Q)是正合复形.

The basic homological properties of FC-projective complexes were discussed and it was proved that a complex C is FC-projective if and only if Cn is FC-projective for all n∈ℤ,and(C,Q)is exact for all finitely copresented complexes Q.