bicomodules的上同调可分函子和Maschke函子
Cohomology for bicomodules. Separable and Maschke functors
摘要：
我们引入了Grothendieck范畴中的余单子的双模范畴，其基础函子是右正合的且保持直和。利用双余模的协积分，借助于上同调群刻画了具有可分遗忘函子的余模。我们提出两个应用：[11]中给出的余可分核环的特征，[16]中给出的余可分余代数余扩张的特征。
英文摘要：
We introduce the category of bicomodules for a comonad in a Grothendieck category whose underlying functor is right exact and preserves direct sums. We characterize comonads with a separable forgetful functor by means of cohomology groups using cointegrations into bicomodules. We present two applications: the characterization of coseparable corings stated in [11], and the characterization of coseparable coalgebras coextensions stated in [16].
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