论文标题
换向器简单代数的派生和同构
Derivations and homomorphisms in commutator-simple algebras
论文作者
论文摘要
如果$ [a，a] $不包含$ a $的非零理想，我们将$ commutator-simple称为“代数”。在提供了几个示例之后，我们表明在这些代数衍生物中取决于适用于局部推导的条件。这使我们能够证明每个连续的本地派生$ d \ colon l^1（g）\至l^1（g）$，其中$ g $是一个单模型的本地紧凑型组，都是派生。我们还对换向器 - 简单代数中的同构图形图发表了一些评论。
We call an algebra $A$ commutator-simple if $[A,A]$ does not contain nonzero ideals of $A$. After providing several examples, we show that in these algebras derivations are determined by a condition that is applicable to the study of local derivations. This enables us to prove that every continuous local derivation $D\colon L^1(G)\to L^1(G)$, where $G$ is a unimodular locally compact group, is a derivation. We also give some remarks on homomorphism-like maps in commutator-simple algebras.
