K－空间上的某些性质及其应用

Some Properties of K-Space and Their Applications

本文证明了Ｋ－空间上的一个主要性质，给出了此性质在模范畴上不成立的反倒，并且用此性质简化了Ｈｏｐｆ代数某些定理的证明．

The paper proves a main property of K-space and gives the examples to show this property not correct in module categories, then simplifies the proofs of some Hopf algebra theorem using the property.