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arXiv math/9204203math.LO
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自由左分配代数的一个带余除法

A division Algorithm for the Free Left Distributive Algebra

Richard Laver

摘要:

证明了R. Laver,On the left distributed law and the freeness of an algebra of初等嵌入,Advances in Mathematics 91(1992),209-231,对于满足左分配律$a(bc) = (ab)(ac)$的生成元$x$上的自由代数$\Cal A$,通过证明$\Cal A$的成员可以被放入一个“除法形式”来扩展. "

英文摘要:

The normal form theorem, proved in R. Laver, On the left distributive law and the freeness of an algebra of elementary embeddings, Advances in Mathematics 91 (1992), 209-231, for the free algebra $\Cal A$ on one generator $x$ satisfying the left distributive law $a(bc) = (ab)(ac)$ is extended by showing that members of $\Cal A$ can be put into a "division form."

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