We present a modern proof of a theorem of Rosenlicht, asserting that every variety as in the title is isomorphic to a product of affine lines and punctured affine lines.

中文翻译：

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可解代数群下的齐簇

我们提出了 Rosenlicht 定理的现代证明，断言标题中的每个变体都同构为仿射线和穿孔仿射线的乘积。