关于$U$ -支配维数
On $U$-Dominant Dimension
摘要：
设$Λ$和$Γ$是Artin代数，$_ΛU_Γ$是忠实平衡的自正交双模.我们证明了$_ΛU$和$U_Γ$的$U$主导维度是相同的。作为所得结果的应用，我们给出了双对偶函子（关于$_ΛU_Γ$）保单态和左正合的一些刻画.
英文摘要：
Let $Λ$ and $Γ$ be artin algebras and $_ΛU_Γ$ a faithfully balanced selforthogonal bimodule. We show that the $U$-dominant dimensions of $_ΛU$ and $U_Γ$ are identical. As applications to the results obtained, we give some characterizations of double dual functors (with respect to $_ΛU_Γ$) preserving monomorphisms and being left exact respectively.
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