鸡McNugget幺半群的因子分解
Factoring in the Chicken McNugget monoid
摘要：
全世界每天有3400万个麦乐鸡售出。在今天美国的大多数麦当劳地点，麦乐鸡以4、6、10、20、40和50块的包装出售。然而，在1979年推出后不久，它们就以6、9和20个一包的形式出售。这后三个数字的使用产生了所谓的麦乐鸡问题，该问题是：“什么数量的麦乐鸡可以订购只使用6，9或20块的包装？在本文中，我们提出了一个方便的介绍这个问题，以及几个相关的问题，其动机来自于非唯一因子分解理论。
英文摘要：
Every day, 34 million Chicken McNuggets are sold worldwide. At most McDonalds locations in the United States today, Chicken McNuggets are sold in packs of 4, 6, 10, 20, 40, and 50 pieces. However, shortly after their introduction in 1979 they were sold in packs of 6, 9, and 20. The use of these latter three numbers spawned the so-called Chicken McNugget problem, which asks: "what numbers of Chicken McNuggets can be ordered using only packs with 6, 9, or 20 pieces?" In this paper, we present an accessible introduction to this problem, as well as several related questions whose motivation comes from the theory of non-unique factorization.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
