论文标题
激进正方形的Artin代数的有限维度
The finitistic dimension of an Artin algebra with radical square zero
论文作者
论文摘要
我们研究了不等式$ {\ rm findim} \ \！ λ^{op} \ leq {\ rm dell} \ \！ λ$与Artin代数$λ$的deloop级别之间的λ$，以及平等一般是否保持。我们证明了平等$ {\ rm findim} \ \！ λ^{op} = {\ rm dell} \ \！ λ$始终适用于具有零根平方的Artin代数。
We investigate the inequality ${\rm Findim}\ \! Λ^{op} \leq {\rm dell}\ \! Λ$ between the finitistic dimension and the delooping level of an Artin algebra $Λ$, and whether equality holds in general. We prove that equality ${\rm Findim}\ \! Λ^{op} = {\rm dell}\ \! Λ$ always holds for Artin algebras with radical square zero.
