论文标题
现场扩展下的分段遗传代数
Piecewise hereditary algebras under field extensions
论文作者
论文摘要
令$ a $为有限维$ k $ - 级数，$ k/k $是有限的可分离场扩展。我们证明，$ a $的派生相当于遗传代数，并且只有当时是$ a \ otimes_kk $。
Let $A$ be a finite-dimensional $k$-algebra and $K/k$ be a finite separable field extension. We prove that $A$ is derived equivalent to a hereditary algebra if and only if so is $A\otimes_kK$.
