AI 中文总结
该研究在相对代数 K 群上代数构造外幂运算，基于格雷森等人的工作，证明其关于积和合成等的性质，还发现经典λ环积公理多余。
AI 中文摘要
我们通过代数方法在更高阶相对代数 K 群上构造外幂运算，并证明它们具有诸如关于（张量）积和合成的预期行为等所需性质。这基于格雷森用显式生成元和关系对相对 K 群的描述，以及哈里斯、第一作者和泰尔曼对（绝对）K 群的工作。我们方法的新特点之一是观察到经典λ环概念中的积公理是多余的。
英文摘要
We algebraically construct exterior power operations on higher relative algebraic K-groups and prove their desired properties such as the expected behaviour with respect to (tensor) products and composition. This builds on Grayson's description of relative K-groups in terms of explicit generators and relations and on work by Harris, the first author and Taelman for (absolute) K-groups. Among the new features in our approach is the observation that the product axiom in the classical notion of a lambda-ring is redundant.
Comments26 pages
