The behavior of the reflection functors on F -stable representations of a quiver Q with an automorphism σ is studied.
研究了Bernstein Gelfand Ponomarev反射函子在带自同构σ的箭图Q的F- 稳定表示上的作用,并证明了当Q是Dynkin图时,存在一个从Q的不可分解F -稳定表示的同构类到(Q,σ)对应的赋值图的正根的双射。
The concepts of R-smod and FARsmod were introduced and the relation between R-smod and FAR-smod was discussed by a contravariant functor S and a covariant functor t.
本文从范畴角度研究模糊半环上的模糊半模,首先给出了半环上的半模范畴(即R-smod)及模糊半环上的模糊半模范畴(即FRA-smod)的定义,然后通过反变函子s及共变函子t建立R-smod与FAR-smod之间的关系,最后证明了FAR-smod是一个半加法范畴。